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Finding the Fourth Proportional to 9,138.59, 12,611.18 and 5,159.57

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Solution

The fourth proportional to 9,138.59, 12,611.18 and 5,159.57 is: 7,120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.59 : 12,611.18 = 5,159.57 : x
  2. Step 2: Convert to fraction form
    9,138.59/12,611.18 = 5,159.57/x
  3. Step 3: Cross multiply
    9,138.59x = 12,611.18 × 5,159.57
  4. Step 4: Simplify right side
    9,138.59x = 65,068,177.14
  5. Step 5: Solve for x
    x = 65,068,177.14/9,138.59
  6. Step 6: Final answer
    x = 7,120.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.