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Finding the Fourth Proportional to 6,560.32, 9,846.96 and 4,221.04

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Solution

The fourth proportional to 6,560.32, 9,846.96 and 4,221.04 is: 6,335.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560.32 : 9,846.96 = 4,221.04 : x
  2. Step 2: Convert to fraction form
    6,560.32/9,846.96 = 4,221.04/x
  3. Step 3: Cross multiply
    6,560.32x = 9,846.96 × 4,221.04
  4. Step 4: Simplify right side
    6,560.32x = 41,564,412.04
  5. Step 5: Solve for x
    x = 41,564,412.04/6,560.32
  6. Step 6: Final answer
    x = 6,335.73

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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.