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Finding the Fourth Proportional to 6,641.60, 9,165.25 and 3,657.35

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Solution

The fourth proportional to 6,641.60, 9,165.25 and 3,657.35 is: 5,047.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.60 : 9,165.25 = 3,657.35 : x
  2. Step 2: Convert to fraction form
    6,641.60/9,165.25 = 3,657.35/x
  3. Step 3: Cross multiply
    6,641.60x = 9,165.25 × 3,657.35
  4. Step 4: Simplify right side
    6,641.60x = 33,520,554.57
  5. Step 5: Solve for x
    x = 33,520,554.57/6,641.60
  6. Step 6: Final answer
    x = 5,047.06

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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.