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Finding the Fourth Proportional to 6,134.74, 9,200.28 and 3,211.45

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Solution

The fourth proportional to 6,134.74, 9,200.28 and 3,211.45 is: 4,816.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.74 : 9,200.28 = 3,211.45 : x
  2. Step 2: Convert to fraction form
    6,134.74/9,200.28 = 3,211.45/x
  3. Step 3: Cross multiply
    6,134.74x = 9,200.28 × 3,211.45
  4. Step 4: Simplify right side
    6,134.74x = 29,546,228.25
  5. Step 5: Solve for x
    x = 29,546,228.25/6,134.74
  6. Step 6: Final answer
    x = 4,816.22

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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.