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Finding the Fourth Proportional to 6,641.06, 9,164.80 and 3,657.06

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Solution

The fourth proportional to 6,641.06, 9,164.80 and 3,657.06 is: 5,046.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.06 : 9,164.80 = 3,657.06 : x
  2. Step 2: Convert to fraction form
    6,641.06/9,164.80 = 3,657.06/x
  3. Step 3: Cross multiply
    6,641.06x = 9,164.80 × 3,657.06
  4. Step 4: Simplify right side
    6,641.06x = 33,516,223.49
  5. Step 5: Solve for x
    x = 33,516,223.49/6,641.06
  6. Step 6: Final answer
    x = 5,046.82

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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.