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Finding the Fourth Proportional to 6,546.50, 9,044.75 and 4,565.90

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Solution

The fourth proportional to 6,546.50, 9,044.75 and 4,565.90 is: 6,308.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.50 : 9,044.75 = 4,565.90 : x
  2. Step 2: Convert to fraction form
    6,546.50/9,044.75 = 4,565.90/x
  3. Step 3: Cross multiply
    6,546.50x = 9,044.75 × 4,565.90
  4. Step 4: Simplify right side
    6,546.50x = 41,297,355.97
  5. Step 5: Solve for x
    x = 41,297,355.97/6,546.50
  6. Step 6: Final answer
    x = 6,308.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.