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Finding the Fourth Proportional to 6,858.42, 9,408.32 and 6,675.90

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Solution

The fourth proportional to 6,858.42, 9,408.32 and 6,675.90 is: 9,157.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.42 : 9,408.32 = 6,675.90 : x
  2. Step 2: Convert to fraction form
    6,858.42/9,408.32 = 6,675.90/x
  3. Step 3: Cross multiply
    6,858.42x = 9,408.32 × 6,675.90
  4. Step 4: Simplify right side
    6,858.42x = 62,808,970.11
  5. Step 5: Solve for x
    x = 62,808,970.11/6,858.42
  6. Step 6: Final answer
    x = 9,157.94

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.