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Finding the Fourth Proportional to 6,358.14, 9,543.42 and 3,442.68

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Solution

The fourth proportional to 6,358.14, 9,543.42 and 3,442.68 is: 5,167.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.14 : 9,543.42 = 3,442.68 : x
  2. Step 2: Convert to fraction form
    6,358.14/9,543.42 = 3,442.68/x
  3. Step 3: Cross multiply
    6,358.14x = 9,543.42 × 3,442.68
  4. Step 4: Simplify right side
    6,358.14x = 32,854,941.17
  5. Step 5: Solve for x
    x = 32,854,941.17/6,358.14
  6. Step 6: Final answer
    x = 5,167.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.