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Finding the Fourth Proportional to 9,260.82, 12,780.81 and 5,069.70

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Solution

The fourth proportional to 9,260.82, 12,780.81 and 5,069.70 is: 6,996.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.82 : 12,780.81 = 5,069.70 : x
  2. Step 2: Convert to fraction form
    9,260.82/12,780.81 = 5,069.70/x
  3. Step 3: Cross multiply
    9,260.82x = 12,780.81 × 5,069.70
  4. Step 4: Simplify right side
    9,260.82x = 64,794,872.46
  5. Step 5: Solve for x
    x = 64,794,872.46/9,260.82
  6. Step 6: Final answer
    x = 6,996.67

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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.