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Finding the Fourth Proportional to 7,097.14, 9,794.13 and 3,953.50

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Solution

The fourth proportional to 7,097.14, 9,794.13 and 3,953.50 is: 5,455.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.14 : 9,794.13 = 3,953.50 : x
  2. Step 2: Convert to fraction form
    7,097.14/9,794.13 = 3,953.50/x
  3. Step 3: Cross multiply
    7,097.14x = 9,794.13 × 3,953.50
  4. Step 4: Simplify right side
    7,097.14x = 38,721,092.96
  5. Step 5: Solve for x
    x = 38,721,092.96/7,097.14
  6. Step 6: Final answer
    x = 5,455.87

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Why These Related Problems?

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