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Finding the Fourth Proportional to 9,382.13, 12,925.42 and 6,544.44

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Solution

The fourth proportional to 9,382.13, 12,925.42 and 6,544.44 is: 9,016.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.13 : 12,925.42 = 6,544.44 : x
  2. Step 2: Convert to fraction form
    9,382.13/12,925.42 = 6,544.44/x
  3. Step 3: Cross multiply
    9,382.13x = 12,925.42 × 6,544.44
  4. Step 4: Simplify right side
    9,382.13x = 84,589,619.30
  5. Step 5: Solve for x
    x = 84,589,619.30/9,382.13
  6. Step 6: Final answer
    x = 9,016.04

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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.