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Finding the Fourth Proportional to 9,237.69, 13,854.87 and 2,662.26

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Solution

The fourth proportional to 9,237.69, 13,854.87 and 2,662.26 is: 3,992.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.69 : 13,854.87 = 2,662.26 : x
  2. Step 2: Convert to fraction form
    9,237.69/13,854.87 = 2,662.26/x
  3. Step 3: Cross multiply
    9,237.69x = 13,854.87 × 2,662.26
  4. Step 4: Simplify right side
    9,237.69x = 36,885,266.21
  5. Step 5: Solve for x
    x = 36,885,266.21/9,237.69
  6. Step 6: Final answer
    x = 3,992.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.