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Finding the Fourth Proportional to 7,198.12, 9,937.62 and 4,718.44

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Solution

The fourth proportional to 7,198.12, 9,937.62 and 4,718.44 is: 6,514.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.12 : 9,937.62 = 4,718.44 : x
  2. Step 2: Convert to fraction form
    7,198.12/9,937.62 = 4,718.44/x
  3. Step 3: Cross multiply
    7,198.12x = 9,937.62 × 4,718.44
  4. Step 4: Simplify right side
    7,198.12x = 46,890,063.71
  5. Step 5: Solve for x
    x = 46,890,063.71/7,198.12
  6. Step 6: Final answer
    x = 6,514.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.