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Finding the Fourth Proportional to 7,843.42, 11,752.98 and 6,195.88

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Solution

The fourth proportional to 7,843.42, 11,752.98 and 6,195.88 is: 9,284.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.42 : 11,752.98 = 6,195.88 : x
  2. Step 2: Convert to fraction form
    7,843.42/11,752.98 = 6,195.88/x
  3. Step 3: Cross multiply
    7,843.42x = 11,752.98 × 6,195.88
  4. Step 4: Simplify right side
    7,843.42x = 72,820,053.72
  5. Step 5: Solve for x
    x = 72,820,053.72/7,843.42
  6. Step 6: Final answer
    x = 9,284.22

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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.