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Finding the Fourth Proportional to 6,859.55, 9,456.48 and 4,869.38

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Solution

The fourth proportional to 6,859.55, 9,456.48 and 4,869.38 is: 6,712.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.55 : 9,456.48 = 4,869.38 : x
  2. Step 2: Convert to fraction form
    6,859.55/9,456.48 = 4,869.38/x
  3. Step 3: Cross multiply
    6,859.55x = 9,456.48 × 4,869.38
  4. Step 4: Simplify right side
    6,859.55x = 46,047,122.95
  5. Step 5: Solve for x
    x = 46,047,122.95/6,859.55
  6. Step 6: Final answer
    x = 6,712.85

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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.