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Finding the Fourth Proportional to 9,215, 12,721.24 and 6,384.52

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Solution

The fourth proportional to 9,215, 12,721.24 and 6,384.52 is: 8,813.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215 : 12,721.24 = 6,384.52 : x
  2. Step 2: Convert to fraction form
    9,215/12,721.24 = 6,384.52/x
  3. Step 3: Cross multiply
    9,215x = 12,721.24 × 6,384.52
  4. Step 4: Simplify right side
    9,215x = 81,219,011.20
  5. Step 5: Solve for x
    x = 81,219,011.20/9,215
  6. Step 6: Final answer
    x = 8,813.78

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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.