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Finding the Fourth Proportional to 7,001.34, 9,653.84 and 5,229.96

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Solution

The fourth proportional to 7,001.34, 9,653.84 and 5,229.96 is: 7,211.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.34 : 9,653.84 = 5,229.96 : x
  2. Step 2: Convert to fraction form
    7,001.34/9,653.84 = 5,229.96/x
  3. Step 3: Cross multiply
    7,001.34x = 9,653.84 × 5,229.96
  4. Step 4: Simplify right side
    7,001.34x = 50,489,197.05
  5. Step 5: Solve for x
    x = 50,489,197.05/7,001.34
  6. Step 6: Final answer
    x = 7,211.36

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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.