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Finding the Fourth Proportional to 9,610.54, 14,414.61 and 2,591.10

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Solution

The fourth proportional to 9,610.54, 14,414.61 and 2,591.10 is: 3,886.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.54 : 14,414.61 = 2,591.10 : x
  2. Step 2: Convert to fraction form
    9,610.54/14,414.61 = 2,591.10/x
  3. Step 3: Cross multiply
    9,610.54x = 14,414.61 × 2,591.10
  4. Step 4: Simplify right side
    9,610.54x = 37,349,695.97
  5. Step 5: Solve for x
    x = 37,349,695.97/9,610.54
  6. Step 6: Final answer
    x = 3,886.33

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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.