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Finding the Fourth Proportional to 6,638.64, 9,161.84 and 3,655.04

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Solution

The fourth proportional to 6,638.64, 9,161.84 and 3,655.04 is: 5,044.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.64 : 9,161.84 = 3,655.04 : x
  2. Step 2: Convert to fraction form
    6,638.64/9,161.84 = 3,655.04/x
  3. Step 3: Cross multiply
    6,638.64x = 9,161.84 × 3,655.04
  4. Step 4: Simplify right side
    6,638.64x = 33,486,891.67
  5. Step 5: Solve for x
    x = 33,486,891.67/6,638.64
  6. Step 6: Final answer
    x = 5,044.24

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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.