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Finding the Fourth Proportional to 9,923.32, 14,881.50 and 3,998.44

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Solution

The fourth proportional to 9,923.32, 14,881.50 and 3,998.44 is: 5,996.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.32 : 14,881.50 = 3,998.44 : x
  2. Step 2: Convert to fraction form
    9,923.32/14,881.50 = 3,998.44/x
  3. Step 3: Cross multiply
    9,923.32x = 14,881.50 × 3,998.44
  4. Step 4: Simplify right side
    9,923.32x = 59,502,784.86
  5. Step 5: Solve for x
    x = 59,502,784.86/9,923.32
  6. Step 6: Final answer
    x = 5,996.26

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