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Finding the Fourth Proportional to 6,142.86, 9,205.02 and 2,852.10

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Solution

The fourth proportional to 6,142.86, 9,205.02 and 2,852.10 is: 4,273.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.86 : 9,205.02 = 2,852.10 : x
  2. Step 2: Convert to fraction form
    6,142.86/9,205.02 = 2,852.10/x
  3. Step 3: Cross multiply
    6,142.86x = 9,205.02 × 2,852.10
  4. Step 4: Simplify right side
    6,142.86x = 26,253,637.54
  5. Step 5: Solve for x
    x = 26,253,637.54/6,142.86
  6. Step 6: Final answer
    x = 4,273.85

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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.