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Finding the Fourth Proportional to 6,343.22, 9,511.14 and 2,641.02

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Solution

The fourth proportional to 6,343.22, 9,511.14 and 2,641.02 is: 3,959.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.22 : 9,511.14 = 2,641.02 : x
  2. Step 2: Convert to fraction form
    6,343.22/9,511.14 = 2,641.02/x
  3. Step 3: Cross multiply
    6,343.22x = 9,511.14 × 2,641.02
  4. Step 4: Simplify right side
    6,343.22x = 25,119,110.96
  5. Step 5: Solve for x
    x = 25,119,110.96/6,343.22
  6. Step 6: Final answer
    x = 3,959.99

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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.