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Finding the Fourth Proportional to 9,148.77, 13,720.42 and 3,883.69

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Solution

The fourth proportional to 9,148.77, 13,720.42 and 3,883.69 is: 5,824.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.77 : 13,720.42 = 3,883.69 : x
  2. Step 2: Convert to fraction form
    9,148.77/13,720.42 = 3,883.69/x
  3. Step 3: Cross multiply
    9,148.77x = 13,720.42 × 3,883.69
  4. Step 4: Simplify right side
    9,148.77x = 53,285,857.95
  5. Step 5: Solve for x
    x = 53,285,857.95/9,148.77
  6. Step 6: Final answer
    x = 5,824.37

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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.