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Finding the Fourth Proportional to 9,139.72, 13,710.44 and 2,565.88

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Solution

The fourth proportional to 9,139.72, 13,710.44 and 2,565.88 is: 3,849.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.72 : 13,710.44 = 2,565.88 : x
  2. Step 2: Convert to fraction form
    9,139.72/13,710.44 = 2,565.88/x
  3. Step 3: Cross multiply
    9,139.72x = 13,710.44 × 2,565.88
  4. Step 4: Simplify right side
    9,139.72x = 35,179,343.79
  5. Step 5: Solve for x
    x = 35,179,343.79/9,139.72
  6. Step 6: Final answer
    x = 3,849.06

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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.