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Finding the Fourth Proportional to 9,294.38, 12,826.34 and 5,045.48

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Solution

The fourth proportional to 9,294.38, 12,826.34 and 5,045.48 is: 6,962.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.38 : 12,826.34 = 5,045.48 : x
  2. Step 2: Convert to fraction form
    9,294.38/12,826.34 = 5,045.48/x
  3. Step 3: Cross multiply
    9,294.38x = 12,826.34 × 5,045.48
  4. Step 4: Simplify right side
    9,294.38x = 64,715,041.94
  5. Step 5: Solve for x
    x = 64,715,041.94/9,294.38
  6. Step 6: Final answer
    x = 6,962.81

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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.