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Finding the Fourth Proportional to 9,442.60, 13,031.12 and 5,193.84

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Solution

The fourth proportional to 9,442.60, 13,031.12 and 5,193.84 is: 7,167.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.60 : 13,031.12 = 5,193.84 : x
  2. Step 2: Convert to fraction form
    9,442.60/13,031.12 = 5,193.84/x
  3. Step 3: Cross multiply
    9,442.60x = 13,031.12 × 5,193.84
  4. Step 4: Simplify right side
    9,442.60x = 67,681,552.30
  5. Step 5: Solve for x
    x = 67,681,552.30/9,442.60
  6. Step 6: Final answer
    x = 7,167.68

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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.