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Finding the Fourth Proportional to 6,820.88, 9,408.83 and 4,302.09

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Solution

The fourth proportional to 6,820.88, 9,408.83 and 4,302.09 is: 5,934.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.88 : 9,408.83 = 4,302.09 : x
  2. Step 2: Convert to fraction form
    6,820.88/9,408.83 = 4,302.09/x
  3. Step 3: Cross multiply
    6,820.88x = 9,408.83 × 4,302.09
  4. Step 4: Simplify right side
    6,820.88x = 40,477,621.78
  5. Step 5: Solve for x
    x = 40,477,621.78/6,820.88
  6. Step 6: Final answer
    x = 5,934.37

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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.