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Finding the Fourth Proportional to 9,862.71, 14,776.25 and 6,163.17

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Solution

The fourth proportional to 9,862.71, 14,776.25 and 6,163.17 is: 9,233.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.71 : 14,776.25 = 6,163.17 : x
  2. Step 2: Convert to fraction form
    9,862.71/14,776.25 = 6,163.17/x
  3. Step 3: Cross multiply
    9,862.71x = 14,776.25 × 6,163.17
  4. Step 4: Simplify right side
    9,862.71x = 91,068,509.90
  5. Step 5: Solve for x
    x = 91,068,509.90/9,862.71
  6. Step 6: Final answer
    x = 9,233.62

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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.