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Finding the Fourth Proportional to 6,704.28, 9,259.98 and 5,862.84

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Solution

The fourth proportional to 6,704.28, 9,259.98 and 5,862.84 is: 8,097.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.28 : 9,259.98 = 5,862.84 : x
  2. Step 2: Convert to fraction form
    6,704.28/9,259.98 = 5,862.84/x
  3. Step 3: Cross multiply
    6,704.28x = 9,259.98 × 5,862.84
  4. Step 4: Simplify right side
    6,704.28x = 54,289,781.14
  5. Step 5: Solve for x
    x = 54,289,781.14/6,704.28
  6. Step 6: Final answer
    x = 8,097.78

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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.