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Finding the Fourth Proportional to 6,972.01, 9,618.63 and 3,986.24

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Solution

The fourth proportional to 6,972.01, 9,618.63 and 3,986.24 is: 5,499.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.01 : 9,618.63 = 3,986.24 : x
  2. Step 2: Convert to fraction form
    6,972.01/9,618.63 = 3,986.24/x
  3. Step 3: Cross multiply
    6,972.01x = 9,618.63 × 3,986.24
  4. Step 4: Simplify right side
    6,972.01x = 38,342,167.65
  5. Step 5: Solve for x
    x = 38,342,167.65/6,972.01
  6. Step 6: Final answer
    x = 5,499.44

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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.