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Finding the Fourth Proportional to 9,758.67, 13,466.82 and 5,451.83

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Solution

The fourth proportional to 9,758.67, 13,466.82 and 5,451.83 is: 7,523.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.67 : 13,466.82 = 5,451.83 : x
  2. Step 2: Convert to fraction form
    9,758.67/13,466.82 = 5,451.83/x
  3. Step 3: Cross multiply
    9,758.67x = 13,466.82 × 5,451.83
  4. Step 4: Simplify right side
    9,758.67x = 73,418,813.28
  5. Step 5: Solve for x
    x = 73,418,813.28/9,758.67
  6. Step 6: Final answer
    x = 7,523.44

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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.