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Finding the Fourth Proportional to 7,097.80, 9,795.14 and 3,911.24

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Solution

The fourth proportional to 7,097.80, 9,795.14 and 3,911.24 is: 5,397.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.80 : 9,795.14 = 3,911.24 : x
  2. Step 2: Convert to fraction form
    7,097.80/9,795.14 = 3,911.24/x
  3. Step 3: Cross multiply
    7,097.80x = 9,795.14 × 3,911.24
  4. Step 4: Simplify right side
    7,097.80x = 38,311,143.37
  5. Step 5: Solve for x
    x = 38,311,143.37/7,097.80
  6. Step 6: Final answer
    x = 5,397.61

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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.