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Finding the Fourth Proportional to 6,373.20, 9,561 and 1,990.32

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Solution

The fourth proportional to 6,373.20, 9,561 and 1,990.32 is: 2,985.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,373.20 : 9,561 = 1,990.32 : x
  2. Step 2: Convert to fraction form
    6,373.20/9,561 = 1,990.32/x
  3. Step 3: Cross multiply
    6,373.20x = 9,561 × 1,990.32
  4. Step 4: Simplify right side
    6,373.20x = 19,029,449.52
  5. Step 5: Solve for x
    x = 19,029,449.52/6,373.20
  6. Step 6: Final answer
    x = 2,985.85

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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.