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Finding the Fourth Proportional to 6,155.32, 9,217.52 and 3,805.66

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Solution

The fourth proportional to 6,155.32, 9,217.52 and 3,805.66 is: 5,698.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.32 : 9,217.52 = 3,805.66 : x
  2. Step 2: Convert to fraction form
    6,155.32/9,217.52 = 3,805.66/x
  3. Step 3: Cross multiply
    6,155.32x = 9,217.52 × 3,805.66
  4. Step 4: Simplify right side
    6,155.32x = 35,078,747.16
  5. Step 5: Solve for x
    x = 35,078,747.16/6,155.32
  6. Step 6: Final answer
    x = 5,698.93

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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.