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Finding the Fourth Proportional to 9,442.87, 13,031.22 and 5,193.82

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Solution

The fourth proportional to 9,442.87, 13,031.22 and 5,193.82 is: 7,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.87 : 13,031.22 = 5,193.82 : x
  2. Step 2: Convert to fraction form
    9,442.87/13,031.22 = 5,193.82/x
  3. Step 3: Cross multiply
    9,442.87x = 13,031.22 × 5,193.82
  4. Step 4: Simplify right side
    9,442.87x = 67,681,772.41
  5. Step 5: Solve for x
    x = 67,681,772.41/9,442.87
  6. Step 6: Final answer
    x = 7,167.50

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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.