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Finding the Fourth Proportional to 9,777.60, 14,657.49 and 3,930.21

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Solution

The fourth proportional to 9,777.60, 14,657.49 and 3,930.21 is: 5,891.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.60 : 14,657.49 = 3,930.21 : x
  2. Step 2: Convert to fraction form
    9,777.60/14,657.49 = 3,930.21/x
  3. Step 3: Cross multiply
    9,777.60x = 14,657.49 × 3,930.21
  4. Step 4: Simplify right side
    9,777.60x = 57,607,013.77
  5. Step 5: Solve for x
    x = 57,607,013.77/9,777.60
  6. Step 6: Final answer
    x = 5,891.73

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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.