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Finding the Fourth Proportional to 6,396.62, 9,551.76 and 5,228.90

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Solution

The fourth proportional to 6,396.62, 9,551.76 and 5,228.90 is: 7,808.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.62 : 9,551.76 = 5,228.90 : x
  2. Step 2: Convert to fraction form
    6,396.62/9,551.76 = 5,228.90/x
  3. Step 3: Cross multiply
    6,396.62x = 9,551.76 × 5,228.90
  4. Step 4: Simplify right side
    6,396.62x = 49,945,197.86
  5. Step 5: Solve for x
    x = 49,945,197.86/6,396.62
  6. Step 6: Final answer
    x = 7,808.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.