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Finding the Fourth Proportional to 6,182.78, 9,271.98 and 2,671.82

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Solution

The fourth proportional to 6,182.78, 9,271.98 and 2,671.82 is: 4,006.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.78 : 9,271.98 = 2,671.82 : x
  2. Step 2: Convert to fraction form
    6,182.78/9,271.98 = 2,671.82/x
  3. Step 3: Cross multiply
    6,182.78x = 9,271.98 × 2,671.82
  4. Step 4: Simplify right side
    6,182.78x = 24,773,061.60
  5. Step 5: Solve for x
    x = 24,773,061.60/6,182.78
  6. Step 6: Final answer
    x = 4,006.78

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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.