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Finding the Fourth Proportional to 9,814.67, 13,537.42 and 6,788.44

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Solution

The fourth proportional to 9,814.67, 13,537.42 and 6,788.44 is: 9,363.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.67 : 13,537.42 = 6,788.44 : x
  2. Step 2: Convert to fraction form
    9,814.67/13,537.42 = 6,788.44/x
  3. Step 3: Cross multiply
    9,814.67x = 13,537.42 × 6,788.44
  4. Step 4: Simplify right side
    9,814.67x = 91,897,963.42
  5. Step 5: Solve for x
    x = 91,897,963.42/9,814.67
  6. Step 6: Final answer
    x = 9,363.33

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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.