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Finding the Fourth Proportional to 9,239.97, 13,869.83 and 3,977.59

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Solution

The fourth proportional to 9,239.97, 13,869.83 and 3,977.59 is: 5,970.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,239.97 : 13,869.83 = 3,977.59 : x
  2. Step 2: Convert to fraction form
    9,239.97/13,869.83 = 3,977.59/x
  3. Step 3: Cross multiply
    9,239.97x = 13,869.83 × 3,977.59
  4. Step 4: Simplify right side
    9,239.97x = 55,168,442.55
  5. Step 5: Solve for x
    x = 55,168,442.55/9,239.97
  6. Step 6: Final answer
    x = 5,970.63

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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.