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Finding the Fourth Proportional to 6,145.92, 9,211.20 and 3,024

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Solution

The fourth proportional to 6,145.92, 9,211.20 and 3,024 is: 4,532.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.92 : 9,211.20 = 3,024 : x
  2. Step 2: Convert to fraction form
    6,145.92/9,211.20 = 3,024/x
  3. Step 3: Cross multiply
    6,145.92x = 9,211.20 × 3,024
  4. Step 4: Simplify right side
    6,145.92x = 27,854,668.80
  5. Step 5: Solve for x
    x = 27,854,668.80/6,145.92
  6. Step 6: Final answer
    x = 4,532.22

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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.