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Finding the Fourth Proportional to 8,322.35, 12,445.62 and 6,215.46

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Solution

The fourth proportional to 8,322.35, 12,445.62 and 6,215.46 is: 9,294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.35 : 12,445.62 = 6,215.46 : x
  2. Step 2: Convert to fraction form
    8,322.35/12,445.62 = 6,215.46/x
  3. Step 3: Cross multiply
    8,322.35x = 12,445.62 × 6,215.46
  4. Step 4: Simplify right side
    8,322.35x = 77,355,253.29
  5. Step 5: Solve for x
    x = 77,355,253.29/8,322.35
  6. Step 6: Final answer
    x = 9,294.88

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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.