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Finding the Fourth Proportional to 6,934.26, 9,565.92 and 4,543.18

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Solution

The fourth proportional to 6,934.26, 9,565.92 and 4,543.18 is: 6,267.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.26 : 9,565.92 = 4,543.18 : x
  2. Step 2: Convert to fraction form
    6,934.26/9,565.92 = 4,543.18/x
  3. Step 3: Cross multiply
    6,934.26x = 9,565.92 × 4,543.18
  4. Step 4: Simplify right side
    6,934.26x = 43,459,696.43
  5. Step 5: Solve for x
    x = 43,459,696.43/6,934.26
  6. Step 6: Final answer
    x = 6,267.39

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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.