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Finding the Fourth Proportional to 6,641.18, 9,164.27 and 3,657.17

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Solution

The fourth proportional to 6,641.18, 9,164.27 and 3,657.17 is: 5,046.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.18 : 9,164.27 = 3,657.17 : x
  2. Step 2: Convert to fraction form
    6,641.18/9,164.27 = 3,657.17/x
  3. Step 3: Cross multiply
    6,641.18x = 9,164.27 × 3,657.17
  4. Step 4: Simplify right side
    6,641.18x = 33,515,325.37
  5. Step 5: Solve for x
    x = 33,515,325.37/6,641.18
  6. Step 6: Final answer
    x = 5,046.59

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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.