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Finding the Fourth Proportional to 9,627.52, 14,418.96 and 7,024

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Solution

The fourth proportional to 9,627.52, 14,418.96 and 7,024 is: 10,519.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.52 : 14,418.96 = 7,024 : x
  2. Step 2: Convert to fraction form
    9,627.52/14,418.96 = 7,024/x
  3. Step 3: Cross multiply
    9,627.52x = 14,418.96 × 7,024
  4. Step 4: Simplify right side
    9,627.52x = 101,278,775.04
  5. Step 5: Solve for x
    x = 101,278,775.04/9,627.52
  6. Step 6: Final answer
    x = 10,519.72

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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.