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Finding the Fourth Proportional to 6,176.96, 9,269.28 and 2,282.24

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Solution

The fourth proportional to 6,176.96, 9,269.28 and 2,282.24 is: 3,424.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.96 : 9,269.28 = 2,282.24 : x
  2. Step 2: Convert to fraction form
    6,176.96/9,269.28 = 2,282.24/x
  3. Step 3: Cross multiply
    6,176.96x = 9,269.28 × 2,282.24
  4. Step 4: Simplify right side
    6,176.96x = 21,154,721.59
  5. Step 5: Solve for x
    x = 21,154,721.59/6,176.96
  6. Step 6: Final answer
    x = 3,424.78

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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.