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Finding the Fourth Proportional to 9,374.31, 14,061.47 and 6,471.07

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Solution

The fourth proportional to 9,374.31, 14,061.47 and 6,471.07 is: 9,706.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.31 : 14,061.47 = 6,471.07 : x
  2. Step 2: Convert to fraction form
    9,374.31/14,061.47 = 6,471.07/x
  3. Step 3: Cross multiply
    9,374.31x = 14,061.47 × 6,471.07
  4. Step 4: Simplify right side
    9,374.31x = 90,992,689.16
  5. Step 5: Solve for x
    x = 90,992,689.16/9,374.31
  6. Step 6: Final answer
    x = 9,706.60

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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.