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Finding the Fourth Proportional to 6,349.12, 9,524.59 and 1,966.92

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Solution

The fourth proportional to 6,349.12, 9,524.59 and 1,966.92 is: 2,950.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.12 : 9,524.59 = 1,966.92 : x
  2. Step 2: Convert to fraction form
    6,349.12/9,524.59 = 1,966.92/x
  3. Step 3: Cross multiply
    6,349.12x = 9,524.59 × 1,966.92
  4. Step 4: Simplify right side
    6,349.12x = 18,734,106.56
  5. Step 5: Solve for x
    x = 18,734,106.56/6,349.12
  6. Step 6: Final answer
    x = 2,950.66

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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.