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Finding the Fourth Proportional to 8,215.97, 12,320.80 and 6,464.41

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Solution

The fourth proportional to 8,215.97, 12,320.80 and 6,464.41 is: 9,694.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.97 : 12,320.80 = 6,464.41 : x
  2. Step 2: Convert to fraction form
    8,215.97/12,320.80 = 6,464.41/x
  3. Step 3: Cross multiply
    8,215.97x = 12,320.80 × 6,464.41
  4. Step 4: Simplify right side
    8,215.97x = 79,646,655.76
  5. Step 5: Solve for x
    x = 79,646,655.76/8,215.97
  6. Step 6: Final answer
    x = 9,694.13

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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.