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Finding the Fourth Proportional to 6,234.17, 9,355.23 and 2,947.46

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Solution

The fourth proportional to 6,234.17, 9,355.23 and 2,947.46 is: 4,423.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.17 : 9,355.23 = 2,947.46 : x
  2. Step 2: Convert to fraction form
    6,234.17/9,355.23 = 2,947.46/x
  3. Step 3: Cross multiply
    6,234.17x = 9,355.23 × 2,947.46
  4. Step 4: Simplify right side
    6,234.17x = 27,574,119.44
  5. Step 5: Solve for x
    x = 27,574,119.44/6,234.17
  6. Step 6: Final answer
    x = 4,423.07

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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.