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Finding the Fourth Proportional to 6,534.68, 9,017.32 and 3,882.76

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Solution

The fourth proportional to 6,534.68, 9,017.32 and 3,882.76 is: 5,357.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.68 : 9,017.32 = 3,882.76 : x
  2. Step 2: Convert to fraction form
    6,534.68/9,017.32 = 3,882.76/x
  3. Step 3: Cross multiply
    6,534.68x = 9,017.32 × 3,882.76
  4. Step 4: Simplify right side
    6,534.68x = 35,012,089.40
  5. Step 5: Solve for x
    x = 35,012,089.40/6,534.68
  6. Step 6: Final answer
    x = 5,357.89

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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.