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Finding the Fourth Proportional to 6,349.83, 9,525.74 and 1,966.25

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Solution

The fourth proportional to 6,349.83, 9,525.74 and 1,966.25 is: 2,949.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.83 : 9,525.74 = 1,966.25 : x
  2. Step 2: Convert to fraction form
    6,349.83/9,525.74 = 1,966.25/x
  3. Step 3: Cross multiply
    6,349.83x = 9,525.74 × 1,966.25
  4. Step 4: Simplify right side
    6,349.83x = 18,729,986.28
  5. Step 5: Solve for x
    x = 18,729,986.28/6,349.83
  6. Step 6: Final answer
    x = 2,949.68

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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.