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Finding the Fourth Proportional to 6,147.80, 9,222.88 and 1,988.84

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Solution

The fourth proportional to 6,147.80, 9,222.88 and 1,988.84 is: 2,983.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.80 : 9,222.88 = 1,988.84 : x
  2. Step 2: Convert to fraction form
    6,147.80/9,222.88 = 1,988.84/x
  3. Step 3: Cross multiply
    6,147.80x = 9,222.88 × 1,988.84
  4. Step 4: Simplify right side
    6,147.80x = 18,342,832.66
  5. Step 5: Solve for x
    x = 18,342,832.66/6,147.80
  6. Step 6: Final answer
    x = 2,983.64

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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.