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Finding the Fourth Proportional to 6,315.20, 9,471.43 and 2,366.31

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Solution

The fourth proportional to 6,315.20, 9,471.43 and 2,366.31 is: 3,548.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.20 : 9,471.43 = 2,366.31 : x
  2. Step 2: Convert to fraction form
    6,315.20/9,471.43 = 2,366.31/x
  3. Step 3: Cross multiply
    6,315.20x = 9,471.43 × 2,366.31
  4. Step 4: Simplify right side
    6,315.20x = 22,412,378.00
  5. Step 5: Solve for x
    x = 22,412,378.00/6,315.20
  6. Step 6: Final answer
    x = 3,548.96

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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.