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Finding the Fourth Proportional to 9,102.38, 12,563.91 and 5,958.77

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Solution

The fourth proportional to 9,102.38, 12,563.91 and 5,958.77 is: 8,224.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.38 : 12,563.91 = 5,958.77 : x
  2. Step 2: Convert to fraction form
    9,102.38/12,563.91 = 5,958.77/x
  3. Step 3: Cross multiply
    9,102.38x = 12,563.91 × 5,958.77
  4. Step 4: Simplify right side
    9,102.38x = 74,865,387.17
  5. Step 5: Solve for x
    x = 74,865,387.17/9,102.38
  6. Step 6: Final answer
    x = 8,224.82

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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.