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Finding the Fourth Proportional to 9,338.56, 12,889.92 and 7,463.20

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Solution

The fourth proportional to 9,338.56, 12,889.92 and 7,463.20 is: 10,301.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.56 : 12,889.92 = 7,463.20 : x
  2. Step 2: Convert to fraction form
    9,338.56/12,889.92 = 7,463.20/x
  3. Step 3: Cross multiply
    9,338.56x = 12,889.92 × 7,463.20
  4. Step 4: Simplify right side
    9,338.56x = 96,200,050.94
  5. Step 5: Solve for x
    x = 96,200,050.94/9,338.56
  6. Step 6: Final answer
    x = 10,301.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.