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Finding the Fourth Proportional to 6,642.10, 9,166.13 and 3,657.79

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Solution

The fourth proportional to 6,642.10, 9,166.13 and 3,657.79 is: 5,047.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.10 : 9,166.13 = 3,657.79 : x
  2. Step 2: Convert to fraction form
    6,642.10/9,166.13 = 3,657.79/x
  3. Step 3: Cross multiply
    6,642.10x = 9,166.13 × 3,657.79
  4. Step 4: Simplify right side
    6,642.10x = 33,527,778.65
  5. Step 5: Solve for x
    x = 33,527,778.65/6,642.10
  6. Step 6: Final answer
    x = 5,047.77

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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.