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Finding the Fourth Proportional to 9,862.29, 13,614.89 and 6,280.88

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Solution

The fourth proportional to 9,862.29, 13,614.89 and 6,280.88 is: 8,670.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.29 : 13,614.89 = 6,280.88 : x
  2. Step 2: Convert to fraction form
    9,862.29/13,614.89 = 6,280.88/x
  3. Step 3: Cross multiply
    9,862.29x = 13,614.89 × 6,280.88
  4. Step 4: Simplify right side
    9,862.29x = 85,513,390.82
  5. Step 5: Solve for x
    x = 85,513,390.82/9,862.29
  6. Step 6: Final answer
    x = 8,670.74

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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.