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Finding the Fourth Proportional to 6,818.34, 9,408.24 and 4,165.86

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Solution

The fourth proportional to 6,818.34, 9,408.24 and 4,165.86 is: 5,748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,818.34 : 9,408.24 = 4,165.86 : x
  2. Step 2: Convert to fraction form
    6,818.34/9,408.24 = 4,165.86/x
  3. Step 3: Cross multiply
    6,818.34x = 9,408.24 × 4,165.86
  4. Step 4: Simplify right side
    6,818.34x = 39,193,410.69
  5. Step 5: Solve for x
    x = 39,193,410.69/6,818.34
  6. Step 6: Final answer
    x = 5,748.23

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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.