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Finding the Fourth Proportional to 6,697.12, 9,241.80 and 3,713.04

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Solution

The fourth proportional to 6,697.12, 9,241.80 and 3,713.04 is: 5,123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.12 : 9,241.80 = 3,713.04 : x
  2. Step 2: Convert to fraction form
    6,697.12/9,241.80 = 3,713.04/x
  3. Step 3: Cross multiply
    6,697.12x = 9,241.80 × 3,713.04
  4. Step 4: Simplify right side
    6,697.12x = 34,315,173.07
  5. Step 5: Solve for x
    x = 34,315,173.07/6,697.12
  6. Step 6: Final answer
    x = 5,123.87

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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.