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Finding the Fourth Proportional to 6,227.40, 9,341.06 and 1,844.50

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Solution

The fourth proportional to 6,227.40, 9,341.06 and 1,844.50 is: 2,766.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.40 : 9,341.06 = 1,844.50 : x
  2. Step 2: Convert to fraction form
    6,227.40/9,341.06 = 1,844.50/x
  3. Step 3: Cross multiply
    6,227.40x = 9,341.06 × 1,844.50
  4. Step 4: Simplify right side
    6,227.40x = 17,229,585.17
  5. Step 5: Solve for x
    x = 17,229,585.17/6,227.40
  6. Step 6: Final answer
    x = 2,766.74

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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.