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Finding the Fourth Proportional to 9,166.78, 13,750.05 and 2,241.34

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Solution

The fourth proportional to 9,166.78, 13,750.05 and 2,241.34 is: 3,361.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.78 : 13,750.05 = 2,241.34 : x
  2. Step 2: Convert to fraction form
    9,166.78/13,750.05 = 2,241.34/x
  3. Step 3: Cross multiply
    9,166.78x = 13,750.05 × 2,241.34
  4. Step 4: Simplify right side
    9,166.78x = 30,818,537.07
  5. Step 5: Solve for x
    x = 30,818,537.07/9,166.78
  6. Step 6: Final answer
    x = 3,361.98

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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.