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Finding the Fourth Proportional to 6,988.13, 9,643.82 and 3,844.52

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Solution

The fourth proportional to 6,988.13, 9,643.82 and 3,844.52 is: 5,305.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.13 : 9,643.82 = 3,844.52 : x
  2. Step 2: Convert to fraction form
    6,988.13/9,643.82 = 3,844.52/x
  3. Step 3: Cross multiply
    6,988.13x = 9,643.82 × 3,844.52
  4. Step 4: Simplify right side
    6,988.13x = 37,075,858.87
  5. Step 5: Solve for x
    x = 37,075,858.87/6,988.13
  6. Step 6: Final answer
    x = 5,305.55

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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.