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Finding the Fourth Proportional to 6,024.92, 9,024 and 4,627.97

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Solution

The fourth proportional to 6,024.92, 9,024 and 4,627.97 is: 6,931.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.92 : 9,024 = 4,627.97 : x
  2. Step 2: Convert to fraction form
    6,024.92/9,024 = 4,627.97/x
  3. Step 3: Cross multiply
    6,024.92x = 9,024 × 4,627.97
  4. Step 4: Simplify right side
    6,024.92x = 41,762,756.16
  5. Step 5: Solve for x
    x = 41,762,756.16/6,024.92
  6. Step 6: Final answer
    x = 6,931.68

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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.