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Finding the Fourth Proportional to 7,001.49, 9,662.75 and 5,230.02

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Solution

The fourth proportional to 7,001.49, 9,662.75 and 5,230.02 is: 7,217.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.49 : 9,662.75 = 5,230.02 : x
  2. Step 2: Convert to fraction form
    7,001.49/9,662.75 = 5,230.02/x
  3. Step 3: Cross multiply
    7,001.49x = 9,662.75 × 5,230.02
  4. Step 4: Simplify right side
    7,001.49x = 50,536,375.76
  5. Step 5: Solve for x
    x = 50,536,375.76/7,001.49
  6. Step 6: Final answer
    x = 7,217.95

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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.