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Finding the Fourth Proportional to 6,111.25, 9,166.80 and 1,951.20

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Solution

The fourth proportional to 6,111.25, 9,166.80 and 1,951.20 is: 2,926.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.25 : 9,166.80 = 1,951.20 : x
  2. Step 2: Convert to fraction form
    6,111.25/9,166.80 = 1,951.20/x
  3. Step 3: Cross multiply
    6,111.25x = 9,166.80 × 1,951.20
  4. Step 4: Simplify right side
    6,111.25x = 17,886,263.90
  5. Step 5: Solve for x
    x = 17,886,263.90/6,111.25
  6. Step 6: Final answer
    x = 2,926.78

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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.