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Finding the Fourth Proportional to 9,107.34, 13,658.31 and 3,912

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Solution

The fourth proportional to 9,107.34, 13,658.31 and 3,912 is: 5,866.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.34 : 13,658.31 = 3,912 : x
  2. Step 2: Convert to fraction form
    9,107.34/13,658.31 = 3,912/x
  3. Step 3: Cross multiply
    9,107.34x = 13,658.31 × 3,912
  4. Step 4: Simplify right side
    9,107.34x = 53,431,308.72
  5. Step 5: Solve for x
    x = 53,431,308.72/9,107.34
  6. Step 6: Final answer
    x = 5,866.84

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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.