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Finding the Fourth Proportional to 9,107.70, 12,559.83 and 5,921.88

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Solution

The fourth proportional to 9,107.70, 12,559.83 and 5,921.88 is: 8,166.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.70 : 12,559.83 = 5,921.88 : x
  2. Step 2: Convert to fraction form
    9,107.70/12,559.83 = 5,921.88/x
  3. Step 3: Cross multiply
    9,107.70x = 12,559.83 × 5,921.88
  4. Step 4: Simplify right side
    9,107.70x = 74,377,806.08
  5. Step 5: Solve for x
    x = 74,377,806.08/9,107.70
  6. Step 6: Final answer
    x = 8,166.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.