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Finding the Fourth Proportional to 6,509.46, 9,767.22 and 2,351.16

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Solution

The fourth proportional to 6,509.46, 9,767.22 and 2,351.16 is: 3,527.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.46 : 9,767.22 = 2,351.16 : x
  2. Step 2: Convert to fraction form
    6,509.46/9,767.22 = 2,351.16/x
  3. Step 3: Cross multiply
    6,509.46x = 9,767.22 × 2,351.16
  4. Step 4: Simplify right side
    6,509.46x = 22,964,296.98
  5. Step 5: Solve for x
    x = 22,964,296.98/6,509.46
  6. Step 6: Final answer
    x = 3,527.83

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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.