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Finding the Fourth Proportional to 6,107.86, 9,162.32 and 1,948.46

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Solution

The fourth proportional to 6,107.86, 9,162.32 and 1,948.46 is: 2,922.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.86 : 9,162.32 = 1,948.46 : x
  2. Step 2: Convert to fraction form
    6,107.86/9,162.32 = 1,948.46/x
  3. Step 3: Cross multiply
    6,107.86x = 9,162.32 × 1,948.46
  4. Step 4: Simplify right side
    6,107.86x = 17,852,414.03
  5. Step 5: Solve for x
    x = 17,852,414.03/6,107.86
  6. Step 6: Final answer
    x = 2,922.86

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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.