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Finding the Fourth Proportional to 6,372.47, 9,540.99 and 4,807.76

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Solution

The fourth proportional to 6,372.47, 9,540.99 and 4,807.76 is: 7,198.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,372.47 : 9,540.99 = 4,807.76 : x
  2. Step 2: Convert to fraction form
    6,372.47/9,540.99 = 4,807.76/x
  3. Step 3: Cross multiply
    6,372.47x = 9,540.99 × 4,807.76
  4. Step 4: Simplify right side
    6,372.47x = 45,870,742.38
  5. Step 5: Solve for x
    x = 45,870,742.38/6,372.47
  6. Step 6: Final answer
    x = 7,198.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.