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Finding the Fourth Proportional to 9,225.81, 13,767.30 and 8,241.33

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Solution

The fourth proportional to 9,225.81, 13,767.30 and 8,241.33 is: 12,298.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.81 : 13,767.30 = 8,241.33 : x
  2. Step 2: Convert to fraction form
    9,225.81/13,767.30 = 8,241.33/x
  3. Step 3: Cross multiply
    9,225.81x = 13,767.30 × 8,241.33
  4. Step 4: Simplify right side
    9,225.81x = 113,460,883.11
  5. Step 5: Solve for x
    x = 113,460,883.11/9,225.81
  6. Step 6: Final answer
    x = 12,298.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.