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Finding the Fourth Proportional to 7,093.28, 9,786.08 and 7,082.34

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Solution

The fourth proportional to 7,093.28, 9,786.08 and 7,082.34 is: 9,770.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.28 : 9,786.08 = 7,082.34 : x
  2. Step 2: Convert to fraction form
    7,093.28/9,786.08 = 7,082.34/x
  3. Step 3: Cross multiply
    7,093.28x = 9,786.08 × 7,082.34
  4. Step 4: Simplify right side
    7,093.28x = 69,308,345.83
  5. Step 5: Solve for x
    x = 69,308,345.83/7,093.28
  6. Step 6: Final answer
    x = 9,770.99

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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.