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Finding the Fourth Proportional to 6,575.34, 9,863.02 and 2,192.52

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Solution

The fourth proportional to 6,575.34, 9,863.02 and 2,192.52 is: 3,288.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.34 : 9,863.02 = 2,192.52 : x
  2. Step 2: Convert to fraction form
    6,575.34/9,863.02 = 2,192.52/x
  3. Step 3: Cross multiply
    6,575.34x = 9,863.02 × 2,192.52
  4. Step 4: Simplify right side
    6,575.34x = 21,624,868.61
  5. Step 5: Solve for x
    x = 21,624,868.61/6,575.34
  6. Step 6: Final answer
    x = 3,288.78

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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.