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Finding the Fourth Proportional to 9,115.52, 12,580.29 and 5,338.46

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Solution

The fourth proportional to 9,115.52, 12,580.29 and 5,338.46 is: 7,367.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.52 : 12,580.29 = 5,338.46 : x
  2. Step 2: Convert to fraction form
    9,115.52/12,580.29 = 5,338.46/x
  3. Step 3: Cross multiply
    9,115.52x = 12,580.29 × 5,338.46
  4. Step 4: Simplify right side
    9,115.52x = 67,159,312.05
  5. Step 5: Solve for x
    x = 67,159,312.05/9,115.52
  6. Step 6: Final answer
    x = 7,367.58

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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.