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Finding the Fourth Proportional to 6,341.68, 9,512.68 and 1,959.16

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Solution

The fourth proportional to 6,341.68, 9,512.68 and 1,959.16 is: 2,938.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.68 : 9,512.68 = 1,959.16 : x
  2. Step 2: Convert to fraction form
    6,341.68/9,512.68 = 1,959.16/x
  3. Step 3: Cross multiply
    6,341.68x = 9,512.68 × 1,959.16
  4. Step 4: Simplify right side
    6,341.68x = 18,636,862.15
  5. Step 5: Solve for x
    x = 18,636,862.15/6,341.68
  6. Step 6: Final answer
    x = 2,938.79

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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.