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Finding the Fourth Proportional to 9,137.32, 12,609.54 and 5,158.48

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Solution

The fourth proportional to 9,137.32, 12,609.54 and 5,158.48 is: 7,118.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.32 : 12,609.54 = 5,158.48 : x
  2. Step 2: Convert to fraction form
    9,137.32/12,609.54 = 5,158.48/x
  3. Step 3: Cross multiply
    9,137.32x = 12,609.54 × 5,158.48
  4. Step 4: Simplify right side
    9,137.32x = 65,046,059.90
  5. Step 5: Solve for x
    x = 65,046,059.90/9,137.32
  6. Step 6: Final answer
    x = 7,118.72

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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.