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Finding the Fourth Proportional to 6,351.65, 9,529.37 and 1,969.55

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Solution

The fourth proportional to 6,351.65, 9,529.37 and 1,969.55 is: 2,954.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.65 : 9,529.37 = 1,969.55 : x
  2. Step 2: Convert to fraction form
    6,351.65/9,529.37 = 1,969.55/x
  3. Step 3: Cross multiply
    6,351.65x = 9,529.37 × 1,969.55
  4. Step 4: Simplify right side
    6,351.65x = 18,768,560.84
  5. Step 5: Solve for x
    x = 18,768,560.84/6,351.65
  6. Step 6: Final answer
    x = 2,954.91

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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.