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Finding the Fourth Proportional to 9,139.14, 13,709.12 and 2,565.18

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Solution

The fourth proportional to 9,139.14, 13,709.12 and 2,565.18 is: 3,847.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.14 : 13,709.12 = 2,565.18 : x
  2. Step 2: Convert to fraction form
    9,139.14/13,709.12 = 2,565.18/x
  3. Step 3: Cross multiply
    9,139.14x = 13,709.12 × 2,565.18
  4. Step 4: Simplify right side
    9,139.14x = 35,166,360.44
  5. Step 5: Solve for x
    x = 35,166,360.44/9,139.14
  6. Step 6: Final answer
    x = 3,847.89

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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.