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Finding the Fourth Proportional to 6,349.08, 9,525.10 and 1,966.30

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Solution

The fourth proportional to 6,349.08, 9,525.10 and 1,966.30 is: 2,949.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.08 : 9,525.10 = 1,966.30 : x
  2. Step 2: Convert to fraction form
    6,349.08/9,525.10 = 1,966.30/x
  3. Step 3: Cross multiply
    6,349.08x = 9,525.10 × 1,966.30
  4. Step 4: Simplify right side
    6,349.08x = 18,729,204.13
  5. Step 5: Solve for x
    x = 18,729,204.13/6,349.08
  6. Step 6: Final answer
    x = 2,949.91

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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.