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Finding the Fourth Proportional to 7,023.24, 9,687.24 and 4,367.16

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Solution

The fourth proportional to 7,023.24, 9,687.24 and 4,367.16 is: 6,023.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.24 : 9,687.24 = 4,367.16 : x
  2. Step 2: Convert to fraction form
    7,023.24/9,687.24 = 4,367.16/x
  3. Step 3: Cross multiply
    7,023.24x = 9,687.24 × 4,367.16
  4. Step 4: Simplify right side
    7,023.24x = 42,305,727.04
  5. Step 5: Solve for x
    x = 42,305,727.04/7,023.24
  6. Step 6: Final answer
    x = 6,023.68

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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.