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Finding the Fourth Proportional to 6,377.55, 9,572.38 and 3,917.17

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Solution

The fourth proportional to 6,377.55, 9,572.38 and 3,917.17 is: 5,879.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.55 : 9,572.38 = 3,917.17 : x
  2. Step 2: Convert to fraction form
    6,377.55/9,572.38 = 3,917.17/x
  3. Step 3: Cross multiply
    6,377.55x = 9,572.38 × 3,917.17
  4. Step 4: Simplify right side
    6,377.55x = 37,496,641.94
  5. Step 5: Solve for x
    x = 37,496,641.94/6,377.55
  6. Step 6: Final answer
    x = 5,879.48

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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.