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Finding the Fourth Proportional to 6,376.20, 9,564.57 and 1,993.74

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Solution

The fourth proportional to 6,376.20, 9,564.57 and 1,993.74 is: 2,990.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.20 : 9,564.57 = 1,993.74 : x
  2. Step 2: Convert to fraction form
    6,376.20/9,564.57 = 1,993.74/x
  3. Step 3: Cross multiply
    6,376.20x = 9,564.57 × 1,993.74
  4. Step 4: Simplify right side
    6,376.20x = 19,069,265.79
  5. Step 5: Solve for x
    x = 19,069,265.79/6,376.20
  6. Step 6: Final answer
    x = 2,990.69

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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.