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Finding the Fourth Proportional to 9,337.04, 12,884.64 and 5,144.48

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Solution

The fourth proportional to 9,337.04, 12,884.64 and 5,144.48 is: 7,099.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,337.04 : 12,884.64 = 5,144.48 : x
  2. Step 2: Convert to fraction form
    9,337.04/12,884.64 = 5,144.48/x
  3. Step 3: Cross multiply
    9,337.04x = 12,884.64 × 5,144.48
  4. Step 4: Simplify right side
    9,337.04x = 66,284,772.79
  5. Step 5: Solve for x
    x = 66,284,772.79/9,337.04
  6. Step 6: Final answer
    x = 7,099.12

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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.