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Finding the Fourth Proportional to 7,097.12, 9,793.44 and 3,953

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Solution

The fourth proportional to 7,097.12, 9,793.44 and 3,953 is: 5,454.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.12 : 9,793.44 = 3,953 : x
  2. Step 2: Convert to fraction form
    7,097.12/9,793.44 = 3,953/x
  3. Step 3: Cross multiply
    7,097.12x = 9,793.44 × 3,953
  4. Step 4: Simplify right side
    7,097.12x = 38,713,468.32
  5. Step 5: Solve for x
    x = 38,713,468.32/7,097.12
  6. Step 6: Final answer
    x = 5,454.81

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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.