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Finding the Fourth Proportional to 6,348.32, 9,521.76 and 4,015.52

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Solution

The fourth proportional to 6,348.32, 9,521.76 and 4,015.52 is: 6,022.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.32 : 9,521.76 = 4,015.52 : x
  2. Step 2: Convert to fraction form
    6,348.32/9,521.76 = 4,015.52/x
  3. Step 3: Cross multiply
    6,348.32x = 9,521.76 × 4,015.52
  4. Step 4: Simplify right side
    6,348.32x = 38,234,817.72
  5. Step 5: Solve for x
    x = 38,234,817.72/6,348.32
  6. Step 6: Final answer
    x = 6,022.82

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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.