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Finding the Fourth Proportional to 9,442.50, 13,031.19 and 5,251.02

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Solution

The fourth proportional to 9,442.50, 13,031.19 and 5,251.02 is: 7,246.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.50 : 13,031.19 = 5,251.02 : x
  2. Step 2: Convert to fraction form
    9,442.50/13,031.19 = 5,251.02/x
  3. Step 3: Cross multiply
    9,442.50x = 13,031.19 × 5,251.02
  4. Step 4: Simplify right side
    9,442.50x = 68,427,039.31
  5. Step 5: Solve for x
    x = 68,427,039.31/9,442.50
  6. Step 6: Final answer
    x = 7,246.71

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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.