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Finding the Fourth Proportional to 9,780.93, 14,672.27 and 2,761.01

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Solution

The fourth proportional to 9,780.93, 14,672.27 and 2,761.01 is: 4,141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.93 : 14,672.27 = 2,761.01 : x
  2. Step 2: Convert to fraction form
    9,780.93/14,672.27 = 2,761.01/x
  3. Step 3: Cross multiply
    9,780.93x = 14,672.27 × 2,761.01
  4. Step 4: Simplify right side
    9,780.93x = 40,510,197.03
  5. Step 5: Solve for x
    x = 40,510,197.03/9,780.93
  6. Step 6: Final answer
    x = 4,141.75

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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.