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Finding the Fourth Proportional to 9,478.74, 14,218.11 and 8,764.50

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Solution

The fourth proportional to 9,478.74, 14,218.11 and 8,764.50 is: 13,146.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.74 : 14,218.11 = 8,764.50 : x
  2. Step 2: Convert to fraction form
    9,478.74/14,218.11 = 8,764.50/x
  3. Step 3: Cross multiply
    9,478.74x = 14,218.11 × 8,764.50
  4. Step 4: Simplify right side
    9,478.74x = 124,614,625.10
  5. Step 5: Solve for x
    x = 124,614,625.10/9,478.74
  6. Step 6: Final answer
    x = 13,146.75

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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.