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Finding the Fourth Proportional to 6,103.97, 9,155.96 and 5,792.33

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Solution

The fourth proportional to 6,103.97, 9,155.96 and 5,792.33 is: 8,688.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.97 : 9,155.96 = 5,792.33 : x
  2. Step 2: Convert to fraction form
    6,103.97/9,155.96 = 5,792.33/x
  3. Step 3: Cross multiply
    6,103.97x = 9,155.96 × 5,792.33
  4. Step 4: Simplify right side
    6,103.97x = 53,034,281.53
  5. Step 5: Solve for x
    x = 53,034,281.53/6,103.97
  6. Step 6: Final answer
    x = 8,688.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.