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Finding the Fourth Proportional to 9,405.78, 14,107.23 and 2,480.82

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Solution

The fourth proportional to 9,405.78, 14,107.23 and 2,480.82 is: 3,720.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.78 : 14,107.23 = 2,480.82 : x
  2. Step 2: Convert to fraction form
    9,405.78/14,107.23 = 2,480.82/x
  3. Step 3: Cross multiply
    9,405.78x = 14,107.23 × 2,480.82
  4. Step 4: Simplify right side
    9,405.78x = 34,997,498.33
  5. Step 5: Solve for x
    x = 34,997,498.33/9,405.78
  6. Step 6: Final answer
    x = 3,720.85

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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.