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Finding the Fourth Proportional to 6,515.68, 9,773.36 and 5,635.52

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Solution

The fourth proportional to 6,515.68, 9,773.36 and 5,635.52 is: 8,453.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.68 : 9,773.36 = 5,635.52 : x
  2. Step 2: Convert to fraction form
    6,515.68/9,773.36 = 5,635.52/x
  3. Step 3: Cross multiply
    6,515.68x = 9,773.36 × 5,635.52
  4. Step 4: Simplify right side
    6,515.68x = 55,077,965.75
  5. Step 5: Solve for x
    x = 55,077,965.75/6,515.68
  6. Step 6: Final answer
    x = 8,453.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.