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Finding the Fourth Proportional to 6,991.04, 9,647.62 and 3,847.23

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Solution

The fourth proportional to 6,991.04, 9,647.62 and 3,847.23 is: 5,309.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.04 : 9,647.62 = 3,847.23 : x
  2. Step 2: Convert to fraction form
    6,991.04/9,647.62 = 3,847.23/x
  3. Step 3: Cross multiply
    6,991.04x = 9,647.62 × 3,847.23
  4. Step 4: Simplify right side
    6,991.04x = 37,116,603.47
  5. Step 5: Solve for x
    x = 37,116,603.47/6,991.04
  6. Step 6: Final answer
    x = 5,309.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.