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Finding the Fourth Proportional to 9,337.23, 12,884.78 and 5,357.43

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Solution

The fourth proportional to 9,337.23, 12,884.78 and 5,357.43 is: 7,392.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,337.23 : 12,884.78 = 5,357.43 : x
  2. Step 2: Convert to fraction form
    9,337.23/12,884.78 = 5,357.43/x
  3. Step 3: Cross multiply
    9,337.23x = 12,884.78 × 5,357.43
  4. Step 4: Simplify right side
    9,337.23x = 69,029,280.13
  5. Step 5: Solve for x
    x = 69,029,280.13/9,337.23
  6. Step 6: Final answer
    x = 7,392.91

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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.