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Finding the Fourth Proportional to 9,843.40, 14,775.90 and 6,149.80

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Solution

The fourth proportional to 9,843.40, 14,775.90 and 6,149.80 is: 9,231.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.40 : 14,775.90 = 6,149.80 : x
  2. Step 2: Convert to fraction form
    9,843.40/14,775.90 = 6,149.80/x
  3. Step 3: Cross multiply
    9,843.40x = 14,775.90 × 6,149.80
  4. Step 4: Simplify right side
    9,843.40x = 90,868,829.82
  5. Step 5: Solve for x
    x = 90,868,829.82/9,843.40
  6. Step 6: Final answer
    x = 9,231.45

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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.