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Finding the Fourth Proportional to 9,259.38, 12,767.76 and 5,898.42

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Solution

The fourth proportional to 9,259.38, 12,767.76 and 5,898.42 is: 8,133.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.38 : 12,767.76 = 5,898.42 : x
  2. Step 2: Convert to fraction form
    9,259.38/12,767.76 = 5,898.42/x
  3. Step 3: Cross multiply
    9,259.38x = 12,767.76 × 5,898.42
  4. Step 4: Simplify right side
    9,259.38x = 75,309,610.94
  5. Step 5: Solve for x
    x = 75,309,610.94/9,259.38
  6. Step 6: Final answer
    x = 8,133.33

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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.