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Finding the Fourth Proportional to 8,919.42, 12,309.24 and 5,382.57

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Solution

The fourth proportional to 8,919.42, 12,309.24 and 5,382.57 is: 7,428.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,919.42 : 12,309.24 = 5,382.57 : x
  2. Step 2: Convert to fraction form
    8,919.42/12,309.24 = 5,382.57/x
  3. Step 3: Cross multiply
    8,919.42x = 12,309.24 × 5,382.57
  4. Step 4: Simplify right side
    8,919.42x = 66,255,345.95
  5. Step 5: Solve for x
    x = 66,255,345.95/8,919.42
  6. Step 6: Final answer
    x = 7,428.21

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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.