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Finding the Fourth Proportional to 9,348.97, 14,023.23 and 2,775.21

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Solution

The fourth proportional to 9,348.97, 14,023.23 and 2,775.21 is: 4,162.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.97 : 14,023.23 = 2,775.21 : x
  2. Step 2: Convert to fraction form
    9,348.97/14,023.23 = 2,775.21/x
  3. Step 3: Cross multiply
    9,348.97x = 14,023.23 × 2,775.21
  4. Step 4: Simplify right side
    9,348.97x = 38,917,424.01
  5. Step 5: Solve for x
    x = 38,917,424.01/9,348.97
  6. Step 6: Final answer
    x = 4,162.75

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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.