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Finding the Fourth Proportional to 7,097.80, 9,794.10 and 3,952.84

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Solution

The fourth proportional to 7,097.80, 9,794.10 and 3,952.84 is: 5,454.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.80 : 9,794.10 = 3,952.84 : x
  2. Step 2: Convert to fraction form
    7,097.80/9,794.10 = 3,952.84/x
  3. Step 3: Cross multiply
    7,097.80x = 9,794.10 × 3,952.84
  4. Step 4: Simplify right side
    7,097.80x = 38,714,510.24
  5. Step 5: Solve for x
    x = 38,714,510.24/7,097.80
  6. Step 6: Final answer
    x = 5,454.44

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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.