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Finding the Fourth Proportional to 6,642.19, 9,165.85 and 3,657.46

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Solution

The fourth proportional to 6,642.19, 9,165.85 and 3,657.46 is: 5,047.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.19 : 9,165.85 = 3,657.46 : x
  2. Step 2: Convert to fraction form
    6,642.19/9,165.85 = 3,657.46/x
  3. Step 3: Cross multiply
    6,642.19x = 9,165.85 × 3,657.46
  4. Step 4: Simplify right side
    6,642.19x = 33,523,683.91
  5. Step 5: Solve for x
    x = 33,523,683.91/6,642.19
  6. Step 6: Final answer
    x = 5,047.09

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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.