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Finding the Fourth Proportional to 9,715.46, 14,571.63 and 3,474.31

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Solution

The fourth proportional to 9,715.46, 14,571.63 and 3,474.31 is: 5,210.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.46 : 14,571.63 = 3,474.31 : x
  2. Step 2: Convert to fraction form
    9,715.46/14,571.63 = 3,474.31/x
  3. Step 3: Cross multiply
    9,715.46x = 14,571.63 × 3,474.31
  4. Step 4: Simplify right side
    9,715.46x = 50,626,359.83
  5. Step 5: Solve for x
    x = 50,626,359.83/9,715.46
  6. Step 6: Final answer
    x = 5,210.91

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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.