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Finding the Fourth Proportional to 6,949.80, 9,587.36 and 4,296.24

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Solution

The fourth proportional to 6,949.80, 9,587.36 and 4,296.24 is: 5,926.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.80 : 9,587.36 = 4,296.24 : x
  2. Step 2: Convert to fraction form
    6,949.80/9,587.36 = 4,296.24/x
  3. Step 3: Cross multiply
    6,949.80x = 9,587.36 × 4,296.24
  4. Step 4: Simplify right side
    6,949.80x = 41,189,599.53
  5. Step 5: Solve for x
    x = 41,189,599.53/6,949.80
  6. Step 6: Final answer
    x = 5,926.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.