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Finding the Fourth Proportional to 6,600.12, 9,109.26 and 3,768

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Solution

The fourth proportional to 6,600.12, 9,109.26 and 3,768 is: 5,200.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,600.12 : 9,109.26 = 3,768 : x
  2. Step 2: Convert to fraction form
    6,600.12/9,109.26 = 3,768/x
  3. Step 3: Cross multiply
    6,600.12x = 9,109.26 × 3,768
  4. Step 4: Simplify right side
    6,600.12x = 34,323,691.68
  5. Step 5: Solve for x
    x = 34,323,691.68/6,600.12
  6. Step 6: Final answer
    x = 5,200.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.