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Finding the Fourth Proportional to 10,141.71, 14,001.93 and 6,614.97

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Solution

The fourth proportional to 10,141.71, 14,001.93 and 6,614.97 is: 9,132.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,141.71 : 14,001.93 = 6,614.97 : x
  2. Step 2: Convert to fraction form
    10,141.71/14,001.93 = 6,614.97/x
  3. Step 3: Cross multiply
    10,141.71x = 14,001.93 × 6,614.97
  4. Step 4: Simplify right side
    10,141.71x = 92,622,346.89
  5. Step 5: Solve for x
    x = 92,622,346.89/10,141.71
  6. Step 6: Final answer
    x = 9,132.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.