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Finding the Fourth Proportional to 6,878.13, 9,493.38 and 4,363.71

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Solution

The fourth proportional to 6,878.13, 9,493.38 and 4,363.71 is: 6,022.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.13 : 9,493.38 = 4,363.71 : x
  2. Step 2: Convert to fraction form
    6,878.13/9,493.38 = 4,363.71/x
  3. Step 3: Cross multiply
    6,878.13x = 9,493.38 × 4,363.71
  4. Step 4: Simplify right side
    6,878.13x = 41,426,357.24
  5. Step 5: Solve for x
    x = 41,426,357.24/6,878.13
  6. Step 6: Final answer
    x = 6,022.91

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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.