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Finding the Fourth Proportional to 6,349.08, 9,523.88 and 1,966.62

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Solution

The fourth proportional to 6,349.08, 9,523.88 and 1,966.62 is: 2,950.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.08 : 9,523.88 = 1,966.62 : x
  2. Step 2: Convert to fraction form
    6,349.08/9,523.88 = 1,966.62/x
  3. Step 3: Cross multiply
    6,349.08x = 9,523.88 × 1,966.62
  4. Step 4: Simplify right side
    6,349.08x = 18,729,810.18
  5. Step 5: Solve for x
    x = 18,729,810.18/6,349.08
  6. Step 6: Final answer
    x = 2,950.01

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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.