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Finding the Fourth Proportional to 6,219.20, 9,336.72 and 5,347.28

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Solution

The fourth proportional to 6,219.20, 9,336.72 and 5,347.28 is: 8,027.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,219.20 : 9,336.72 = 5,347.28 : x
  2. Step 2: Convert to fraction form
    6,219.20/9,336.72 = 5,347.28/x
  3. Step 3: Cross multiply
    6,219.20x = 9,336.72 × 5,347.28
  4. Step 4: Simplify right side
    6,219.20x = 49,926,056.12
  5. Step 5: Solve for x
    x = 49,926,056.12/6,219.20
  6. Step 6: Final answer
    x = 8,027.73

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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.