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Finding the Fourth Proportional to 9,174.64, 13,761.72 and 2,600.76

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Solution

The fourth proportional to 9,174.64, 13,761.72 and 2,600.76 is: 3,901.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.64 : 13,761.72 = 2,600.76 : x
  2. Step 2: Convert to fraction form
    9,174.64/13,761.72 = 2,600.76/x
  3. Step 3: Cross multiply
    9,174.64x = 13,761.72 × 2,600.76
  4. Step 4: Simplify right side
    9,174.64x = 35,790,930.91
  5. Step 5: Solve for x
    x = 35,790,930.91/9,174.64
  6. Step 6: Final answer
    x = 3,901.07

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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.