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Finding the Fourth Proportional to 6,209.52, 9,317.48 and 2,749.20

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Solution

The fourth proportional to 6,209.52, 9,317.48 and 2,749.20 is: 4,125.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.52 : 9,317.48 = 2,749.20 : x
  2. Step 2: Convert to fraction form
    6,209.52/9,317.48 = 2,749.20/x
  3. Step 3: Cross multiply
    6,209.52x = 9,317.48 × 2,749.20
  4. Step 4: Simplify right side
    6,209.52x = 25,615,616.02
  5. Step 5: Solve for x
    x = 25,615,616.02/6,209.52
  6. Step 6: Final answer
    x = 4,125.22

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Why These Related Problems?

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