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Finding the Fourth Proportional to 6,445.88, 9,665.80 and 3,778.28

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Solution

The fourth proportional to 6,445.88, 9,665.80 and 3,778.28 is: 5,665.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.88 : 9,665.80 = 3,778.28 : x
  2. Step 2: Convert to fraction form
    6,445.88/9,665.80 = 3,778.28/x
  3. Step 3: Cross multiply
    6,445.88x = 9,665.80 × 3,778.28
  4. Step 4: Simplify right side
    6,445.88x = 36,520,098.82
  5. Step 5: Solve for x
    x = 36,520,098.82/6,445.88
  6. Step 6: Final answer
    x = 5,665.65

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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.