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Finding the Fourth Proportional to 6,560.34, 9,049.33 and 4,789.78

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Solution

The fourth proportional to 6,560.34, 9,049.33 and 4,789.78 is: 6,607.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560.34 : 9,049.33 = 4,789.78 : x
  2. Step 2: Convert to fraction form
    6,560.34/9,049.33 = 4,789.78/x
  3. Step 3: Cross multiply
    6,560.34x = 9,049.33 × 4,789.78
  4. Step 4: Simplify right side
    6,560.34x = 43,344,299.85
  5. Step 5: Solve for x
    x = 43,344,299.85/6,560.34
  6. Step 6: Final answer
    x = 6,607.02

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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.