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Finding the Fourth Proportional to 6,339.19, 9,511.52 and 2,446.33

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Solution

The fourth proportional to 6,339.19, 9,511.52 and 2,446.33 is: 3,670.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.19 : 9,511.52 = 2,446.33 : x
  2. Step 2: Convert to fraction form
    6,339.19/9,511.52 = 2,446.33/x
  3. Step 3: Cross multiply
    6,339.19x = 9,511.52 × 2,446.33
  4. Step 4: Simplify right side
    6,339.19x = 23,268,316.72
  5. Step 5: Solve for x
    x = 23,268,316.72/6,339.19
  6. Step 6: Final answer
    x = 3,670.55

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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.