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Finding the Fourth Proportional to 7,097.20, 9,794.28 and 4,114

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Solution

The fourth proportional to 7,097.20, 9,794.28 and 4,114 is: 5,677.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.20 : 9,794.28 = 4,114 : x
  2. Step 2: Convert to fraction form
    7,097.20/9,794.28 = 4,114/x
  3. Step 3: Cross multiply
    7,097.20x = 9,794.28 × 4,114
  4. Step 4: Simplify right side
    7,097.20x = 40,293,667.92
  5. Step 5: Solve for x
    x = 40,293,667.92/7,097.20
  6. Step 6: Final answer
    x = 5,677.40

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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.