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Finding the Fourth Proportional to 9,138.85, 13,708.28 and 2,565.61

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Solution

The fourth proportional to 9,138.85, 13,708.28 and 2,565.61 is: 3,848.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.85 : 13,708.28 = 2,565.61 : x
  2. Step 2: Convert to fraction form
    9,138.85/13,708.28 = 2,565.61/x
  3. Step 3: Cross multiply
    9,138.85x = 13,708.28 × 2,565.61
  4. Step 4: Simplify right side
    9,138.85x = 35,170,100.25
  5. Step 5: Solve for x
    x = 35,170,100.25/9,138.85
  6. Step 6: Final answer
    x = 3,848.42

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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.