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Finding the Fourth Proportional to 6,802.29, 9,387.63 and 4,149

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Solution

The fourth proportional to 6,802.29, 9,387.63 and 4,149 is: 5,725.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.29 : 9,387.63 = 4,149 : x
  2. Step 2: Convert to fraction form
    6,802.29/9,387.63 = 4,149/x
  3. Step 3: Cross multiply
    6,802.29x = 9,387.63 × 4,149
  4. Step 4: Simplify right side
    6,802.29x = 38,949,276.87
  5. Step 5: Solve for x
    x = 38,949,276.87/6,802.29
  6. Step 6: Final answer
    x = 5,725.91

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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.