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Finding the Fourth Proportional to 12,642.28, 18,952.38 and 6,394.12

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Solution

The fourth proportional to 12,642.28, 18,952.38 and 6,394.12 is: 9,585.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.28 : 18,952.38 = 6,394.12 : x
  2. Step 2: Convert to fraction form
    12,642.28/18,952.38 = 6,394.12/x
  3. Step 3: Cross multiply
    12,642.28x = 18,952.38 × 6,394.12
  4. Step 4: Simplify right side
    12,642.28x = 121,183,792.01
  5. Step 5: Solve for x
    x = 121,183,792.01/12,642.28
  6. Step 6: Final answer
    x = 9,585.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.