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Finding the Fourth Proportional to 6,227.52, 9,341.28 and 5,847.36

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Solution

The fourth proportional to 6,227.52, 9,341.28 and 5,847.36 is: 8,771.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.52 : 9,341.28 = 5,847.36 : x
  2. Step 2: Convert to fraction form
    6,227.52/9,341.28 = 5,847.36/x
  3. Step 3: Cross multiply
    6,227.52x = 9,341.28 × 5,847.36
  4. Step 4: Simplify right side
    6,227.52x = 54,621,827.02
  5. Step 5: Solve for x
    x = 54,621,827.02/6,227.52
  6. Step 6: Final answer
    x = 8,771.04

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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.