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Finding the Fourth Proportional to 6,641.13, 9,164.82 and 3,656.88

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Solution

The fourth proportional to 6,641.13, 9,164.82 and 3,656.88 is: 5,046.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.13 : 9,164.82 = 3,656.88 : x
  2. Step 2: Convert to fraction form
    6,641.13/9,164.82 = 3,656.88/x
  3. Step 3: Cross multiply
    6,641.13x = 9,164.82 × 3,656.88
  4. Step 4: Simplify right side
    6,641.13x = 33,514,646.96
  5. Step 5: Solve for x
    x = 33,514,646.96/6,641.13
  6. Step 6: Final answer
    x = 5,046.53

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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.