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Finding the Fourth Proportional to 6,343.16, 8,761.93 and 4,869.29

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Solution

The fourth proportional to 6,343.16, 8,761.93 and 4,869.29 is: 6,726.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.16 : 8,761.93 = 4,869.29 : x
  2. Step 2: Convert to fraction form
    6,343.16/8,761.93 = 4,869.29/x
  3. Step 3: Cross multiply
    6,343.16x = 8,761.93 × 4,869.29
  4. Step 4: Simplify right side
    6,343.16x = 42,664,378.13
  5. Step 5: Solve for x
    x = 42,664,378.13/6,343.16
  6. Step 6: Final answer
    x = 6,726.04

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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.