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Finding the Fourth Proportional to 9,402.78, 14,107.86 and 3,858.78

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Solution

The fourth proportional to 9,402.78, 14,107.86 and 3,858.78 is: 5,789.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.78 : 14,107.86 = 3,858.78 : x
  2. Step 2: Convert to fraction form
    9,402.78/14,107.86 = 3,858.78/x
  3. Step 3: Cross multiply
    9,402.78x = 14,107.86 × 3,858.78
  4. Step 4: Simplify right side
    9,402.78x = 54,439,128.01
  5. Step 5: Solve for x
    x = 54,439,128.01/9,402.78
  6. Step 6: Final answer
    x = 5,789.68

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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.