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Finding the Fourth Proportional to 6,478.12, 9,721.02 and 4,399.48

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Solution

The fourth proportional to 6,478.12, 9,721.02 and 4,399.48 is: 6,601.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.12 : 9,721.02 = 4,399.48 : x
  2. Step 2: Convert to fraction form
    6,478.12/9,721.02 = 4,399.48/x
  3. Step 3: Cross multiply
    6,478.12x = 9,721.02 × 4,399.48
  4. Step 4: Simplify right side
    6,478.12x = 42,767,433.07
  5. Step 5: Solve for x
    x = 42,767,433.07/6,478.12
  6. Step 6: Final answer
    x = 6,601.83

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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.