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Finding the Fourth Proportional to 9,382.32, 12,944.44 and 6,197.20

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Solution

The fourth proportional to 9,382.32, 12,944.44 and 6,197.20 is: 8,550.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.32 : 12,944.44 = 6,197.20 : x
  2. Step 2: Convert to fraction form
    9,382.32/12,944.44 = 6,197.20/x
  3. Step 3: Cross multiply
    9,382.32x = 12,944.44 × 6,197.20
  4. Step 4: Simplify right side
    9,382.32x = 80,219,283.57
  5. Step 5: Solve for x
    x = 80,219,283.57/9,382.32
  6. Step 6: Final answer
    x = 8,550.05

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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.