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Finding the Fourth Proportional to 9,120.74, 13,734.78 and 7,964.60

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Solution

The fourth proportional to 9,120.74, 13,734.78 and 7,964.60 is: 11,993.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,120.74 : 13,734.78 = 7,964.60 : x
  2. Step 2: Convert to fraction form
    9,120.74/13,734.78 = 7,964.60/x
  3. Step 3: Cross multiply
    9,120.74x = 13,734.78 × 7,964.60
  4. Step 4: Simplify right side
    9,120.74x = 109,391,960.11
  5. Step 5: Solve for x
    x = 109,391,960.11/9,120.74
  6. Step 6: Final answer
    x = 11,993.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.