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Finding the Fourth Proportional to 6,996.72, 9,658.50 and 5,003.82

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Solution

The fourth proportional to 6,996.72, 9,658.50 and 5,003.82 is: 6,907.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.72 : 9,658.50 = 5,003.82 : x
  2. Step 2: Convert to fraction form
    6,996.72/9,658.50 = 5,003.82/x
  3. Step 3: Cross multiply
    6,996.72x = 9,658.50 × 5,003.82
  4. Step 4: Simplify right side
    6,996.72x = 48,329,395.47
  5. Step 5: Solve for x
    x = 48,329,395.47/6,996.72
  6. Step 6: Final answer
    x = 6,907.44

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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.