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Finding the Fourth Proportional to 7,097.46, 9,794.75 and 3,953.85

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Solution

The fourth proportional to 7,097.46, 9,794.75 and 3,953.85 is: 5,456.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.46 : 9,794.75 = 3,953.85 : x
  2. Step 2: Convert to fraction form
    7,097.46/9,794.75 = 3,953.85/x
  3. Step 3: Cross multiply
    7,097.46x = 9,794.75 × 3,953.85
  4. Step 4: Simplify right side
    7,097.46x = 38,726,972.29
  5. Step 5: Solve for x
    x = 38,726,972.29/7,097.46
  6. Step 6: Final answer
    x = 5,456.46

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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.