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Finding the Fourth Proportional to 9,138.41, 13,706.54 and 2,565.15

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Solution

The fourth proportional to 9,138.41, 13,706.54 and 2,565.15 is: 3,847.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.41 : 13,706.54 = 2,565.15 : x
  2. Step 2: Convert to fraction form
    9,138.41/13,706.54 = 2,565.15/x
  3. Step 3: Cross multiply
    9,138.41x = 13,706.54 × 2,565.15
  4. Step 4: Simplify right side
    9,138.41x = 35,159,318.26
  5. Step 5: Solve for x
    x = 35,159,318.26/9,138.41
  6. Step 6: Final answer
    x = 3,847.42

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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.