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Finding the Fourth Proportional to 6,349.98, 9,527.47 and 1,967.78

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Solution

The fourth proportional to 6,349.98, 9,527.47 and 1,967.78 is: 2,952.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.98 : 9,527.47 = 1,967.78 : x
  2. Step 2: Convert to fraction form
    6,349.98/9,527.47 = 1,967.78/x
  3. Step 3: Cross multiply
    6,349.98x = 9,527.47 × 1,967.78
  4. Step 4: Simplify right side
    6,349.98x = 18,747,964.92
  5. Step 5: Solve for x
    x = 18,747,964.92/6,349.98
  6. Step 6: Final answer
    x = 2,952.44

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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.