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Finding the Fourth Proportional to 6,733.84, 9,291.52 and 3,900.56

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Solution

The fourth proportional to 6,733.84, 9,291.52 and 3,900.56 is: 5,382.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.84 : 9,291.52 = 3,900.56 : x
  2. Step 2: Convert to fraction form
    6,733.84/9,291.52 = 3,900.56/x
  3. Step 3: Cross multiply
    6,733.84x = 9,291.52 × 3,900.56
  4. Step 4: Simplify right side
    6,733.84x = 36,242,131.25
  5. Step 5: Solve for x
    x = 36,242,131.25/6,733.84
  6. Step 6: Final answer
    x = 5,382.09

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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.