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Finding the Fourth Proportional to 6,968.82, 9,614.49 and 4,134.03

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Solution

The fourth proportional to 6,968.82, 9,614.49 and 4,134.03 is: 5,703.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.82 : 9,614.49 = 4,134.03 : x
  2. Step 2: Convert to fraction form
    6,968.82/9,614.49 = 4,134.03/x
  3. Step 3: Cross multiply
    6,968.82x = 9,614.49 × 4,134.03
  4. Step 4: Simplify right side
    6,968.82x = 39,746,590.09
  5. Step 5: Solve for x
    x = 39,746,590.09/6,968.82
  6. Step 6: Final answer
    x = 5,703.49

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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.