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Finding the Fourth Proportional to 9,024, 13,513.32 and 6,244.08

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Solution

The fourth proportional to 9,024, 13,513.32 and 6,244.08 is: 9,350.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024 : 13,513.32 = 6,244.08 : x
  2. Step 2: Convert to fraction form
    9,024/13,513.32 = 6,244.08/x
  3. Step 3: Cross multiply
    9,024x = 13,513.32 × 6,244.08
  4. Step 4: Simplify right side
    9,024x = 84,378,251.15
  5. Step 5: Solve for x
    x = 84,378,251.15/9,024
  6. Step 6: Final answer
    x = 9,350.43

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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.