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Finding the Fourth Proportional to 6,997.07, 9,654.72 and 5,668.49

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Solution

The fourth proportional to 6,997.07, 9,654.72 and 5,668.49 is: 7,821.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.07 : 9,654.72 = 5,668.49 : x
  2. Step 2: Convert to fraction form
    6,997.07/9,654.72 = 5,668.49/x
  3. Step 3: Cross multiply
    6,997.07x = 9,654.72 × 5,668.49
  4. Step 4: Simplify right side
    6,997.07x = 54,727,683.77
  5. Step 5: Solve for x
    x = 54,727,683.77/6,997.07
  6. Step 6: Final answer
    x = 7,821.51

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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.