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Finding the Fourth Proportional to 9,167.31, 13,748.16 and 3,902.25

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Solution

The fourth proportional to 9,167.31, 13,748.16 and 3,902.25 is: 5,852.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.31 : 13,748.16 = 3,902.25 : x
  2. Step 2: Convert to fraction form
    9,167.31/13,748.16 = 3,902.25/x
  3. Step 3: Cross multiply
    9,167.31x = 13,748.16 × 3,902.25
  4. Step 4: Simplify right side
    9,167.31x = 53,648,757.36
  5. Step 5: Solve for x
    x = 53,648,757.36/9,167.31
  6. Step 6: Final answer
    x = 5,852.18

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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.