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Finding the Fourth Proportional to 7,097.32, 9,785.38 and 5,522.92

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Solution

The fourth proportional to 7,097.32, 9,785.38 and 5,522.92 is: 7,614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.32 : 9,785.38 = 5,522.92 : x
  2. Step 2: Convert to fraction form
    7,097.32/9,785.38 = 5,522.92/x
  3. Step 3: Cross multiply
    7,097.32x = 9,785.38 × 5,522.92
  4. Step 4: Simplify right side
    7,097.32x = 54,043,870.91
  5. Step 5: Solve for x
    x = 54,043,870.91/7,097.32
  6. Step 6: Final answer
    x = 7,614.69

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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.