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Finding the Fourth Proportional to 6,200.75, 9,302.65 and 2,910.02

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Solution

The fourth proportional to 6,200.75, 9,302.65 and 2,910.02 is: 4,365.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.75 : 9,302.65 = 2,910.02 : x
  2. Step 2: Convert to fraction form
    6,200.75/9,302.65 = 2,910.02/x
  3. Step 3: Cross multiply
    6,200.75x = 9,302.65 × 2,910.02
  4. Step 4: Simplify right side
    6,200.75x = 27,070,843.76
  5. Step 5: Solve for x
    x = 27,070,843.76/6,200.75
  6. Step 6: Final answer
    x = 4,365.74

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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.