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Finding the Fourth Proportional to 9,932,237.82, 14,908,781.37 and 8,802,229.50

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Solution

The fourth proportional to 9,932,237.82, 14,908,781.37 and 8,802,229.50 is: 13,212,582.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932,237.82 : 14,908,781.37 = 8,802,229.50 : x
  2. Step 2: Convert to fraction form
    9,932,237.82/14,908,781.37 = 8,802,229.50/x
  3. Step 3: Cross multiply
    9,932,237.82x = 14,908,781.37 × 8,802,229.50
  4. Step 4: Simplify right side
    9,932,237.82x = 131,230,515,184,064.41
  5. Step 5: Solve for x
    x = 131,230,515,184,064.41/9,932,237.82
  6. Step 6: Final answer
    x = 13,212,582.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.