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Finding the Fourth Proportional to 6,146.79, 9,227.03 and 3,184.45

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Solution

The fourth proportional to 6,146.79, 9,227.03 and 3,184.45 is: 4,780.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.79 : 9,227.03 = 3,184.45 : x
  2. Step 2: Convert to fraction form
    6,146.79/9,227.03 = 3,184.45/x
  3. Step 3: Cross multiply
    6,146.79x = 9,227.03 × 3,184.45
  4. Step 4: Simplify right side
    6,146.79x = 29,382,976.69
  5. Step 5: Solve for x
    x = 29,382,976.69/6,146.79
  6. Step 6: Final answer
    x = 4,780.22

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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.