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Finding the Fourth Proportional to 7,022.17, 9,703.43 and 6,680.49

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Solution

The fourth proportional to 7,022.17, 9,703.43 and 6,680.49 is: 9,231.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022.17 : 9,703.43 = 6,680.49 : x
  2. Step 2: Convert to fraction form
    7,022.17/9,703.43 = 6,680.49/x
  3. Step 3: Cross multiply
    7,022.17x = 9,703.43 × 6,680.49
  4. Step 4: Simplify right side
    7,022.17x = 64,823,667.08
  5. Step 5: Solve for x
    x = 64,823,667.08/7,022.17
  6. Step 6: Final answer
    x = 9,231.29

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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.