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Finding the Fourth Proportional to 9,024.39, 13,552.98 and 8,007.42

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Solution

The fourth proportional to 9,024.39, 13,552.98 and 8,007.42 is: 12,025.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.39 : 13,552.98 = 8,007.42 : x
  2. Step 2: Convert to fraction form
    9,024.39/13,552.98 = 8,007.42/x
  3. Step 3: Cross multiply
    9,024.39x = 13,552.98 × 8,007.42
  4. Step 4: Simplify right side
    9,024.39x = 108,524,403.11
  5. Step 5: Solve for x
    x = 108,524,403.11/9,024.39
  6. Step 6: Final answer
    x = 12,025.68

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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.