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Finding the Fourth Proportional to 9,337.12, 12,884.22 and 5,358.14

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Solution

The fourth proportional to 9,337.12, 12,884.22 and 5,358.14 is: 7,393.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,337.12 : 12,884.22 = 5,358.14 : x
  2. Step 2: Convert to fraction form
    9,337.12/12,884.22 = 5,358.14/x
  3. Step 3: Cross multiply
    9,337.12x = 12,884.22 × 5,358.14
  4. Step 4: Simplify right side
    9,337.12x = 69,035,454.55
  5. Step 5: Solve for x
    x = 69,035,454.55/9,337.12
  6. Step 6: Final answer
    x = 7,393.66

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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.