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Finding the Fourth Proportional to 8,601.90, 12,897.71 and 2,977.73

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Solution

The fourth proportional to 8,601.90, 12,897.71 and 2,977.73 is: 4,464.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,601.90 : 12,897.71 = 2,977.73 : x
  2. Step 2: Convert to fraction form
    8,601.90/12,897.71 = 2,977.73/x
  3. Step 3: Cross multiply
    8,601.90x = 12,897.71 × 2,977.73
  4. Step 4: Simplify right side
    8,601.90x = 38,405,818.62
  5. Step 5: Solve for x
    x = 38,405,818.62/8,601.90
  6. Step 6: Final answer
    x = 4,464.81

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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.