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Finding the Fourth Proportional to 9,137.92, 12,609.72 and 5,159.20

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Solution

The fourth proportional to 9,137.92, 12,609.72 and 5,159.20 is: 7,119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.92 : 12,609.72 = 5,159.20 : x
  2. Step 2: Convert to fraction form
    9,137.92/12,609.72 = 5,159.20/x
  3. Step 3: Cross multiply
    9,137.92x = 12,609.72 × 5,159.20
  4. Step 4: Simplify right side
    9,137.92x = 65,056,067.42
  5. Step 5: Solve for x
    x = 65,056,067.42/9,137.92
  6. Step 6: Final answer
    x = 7,119.35

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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.