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Finding the Fourth Proportional to 6,540.32, 9,029.36 and 5,209.76

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Solution

The fourth proportional to 6,540.32, 9,029.36 and 5,209.76 is: 7,192.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.32 : 9,029.36 = 5,209.76 : x
  2. Step 2: Convert to fraction form
    6,540.32/9,029.36 = 5,209.76/x
  3. Step 3: Cross multiply
    6,540.32x = 9,029.36 × 5,209.76
  4. Step 4: Simplify right side
    6,540.32x = 47,040,798.55
  5. Step 5: Solve for x
    x = 47,040,798.55/6,540.32
  6. Step 6: Final answer
    x = 7,192.43

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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.