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Finding the Fourth Proportional to 6,894.92, 9,508.37 and 4,631.38

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Solution

The fourth proportional to 6,894.92, 9,508.37 and 4,631.38 is: 6,386.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.92 : 9,508.37 = 4,631.38 : x
  2. Step 2: Convert to fraction form
    6,894.92/9,508.37 = 4,631.38/x
  3. Step 3: Cross multiply
    6,894.92x = 9,508.37 × 4,631.38
  4. Step 4: Simplify right side
    6,894.92x = 44,036,862.46
  5. Step 5: Solve for x
    x = 44,036,862.46/6,894.92
  6. Step 6: Final answer
    x = 6,386.85

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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.