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Finding the Fourth Proportional to 6,886.72, 9,498.08 and 4,229.38

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Solution

The fourth proportional to 6,886.72, 9,498.08 and 4,229.38 is: 5,833.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.72 : 9,498.08 = 4,229.38 : x
  2. Step 2: Convert to fraction form
    6,886.72/9,498.08 = 4,229.38/x
  3. Step 3: Cross multiply
    6,886.72x = 9,498.08 × 4,229.38
  4. Step 4: Simplify right side
    6,886.72x = 40,170,989.59
  5. Step 5: Solve for x
    x = 40,170,989.59/6,886.72
  6. Step 6: Final answer
    x = 5,833.11

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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.