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Finding the Fourth Proportional to 6,540.68, 9,023.28 and 4,299.68

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Solution

The fourth proportional to 6,540.68, 9,023.28 and 4,299.68 is: 5,931.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.68 : 9,023.28 = 4,299.68 : x
  2. Step 2: Convert to fraction form
    6,540.68/9,023.28 = 4,299.68/x
  3. Step 3: Cross multiply
    6,540.68x = 9,023.28 × 4,299.68
  4. Step 4: Simplify right side
    6,540.68x = 38,797,216.55
  5. Step 5: Solve for x
    x = 38,797,216.55/6,540.68
  6. Step 6: Final answer
    x = 5,931.68

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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.