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Finding the Fourth Proportional to 8,022.90, 12,061.24 and 6,473.76

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Solution

The fourth proportional to 8,022.90, 12,061.24 and 6,473.76 is: 9,732.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.90 : 12,061.24 = 6,473.76 : x
  2. Step 2: Convert to fraction form
    8,022.90/12,061.24 = 6,473.76/x
  3. Step 3: Cross multiply
    8,022.90x = 12,061.24 × 6,473.76
  4. Step 4: Simplify right side
    8,022.90x = 78,081,573.06
  5. Step 5: Solve for x
    x = 78,081,573.06/8,022.90
  6. Step 6: Final answer
    x = 9,732.34

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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.