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Finding the Fourth Proportional to 6,412.85, 9,619.28 and 5,122.52

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Solution

The fourth proportional to 6,412.85, 9,619.28 and 5,122.52 is: 7,683.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.85 : 9,619.28 = 5,122.52 : x
  2. Step 2: Convert to fraction form
    6,412.85/9,619.28 = 5,122.52/x
  3. Step 3: Cross multiply
    6,412.85x = 9,619.28 × 5,122.52
  4. Step 4: Simplify right side
    6,412.85x = 49,274,935.76
  5. Step 5: Solve for x
    x = 49,274,935.76/6,412.85
  6. Step 6: Final answer
    x = 7,683.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.