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Finding the Fourth Proportional to 9,166.25, 13,749.21 and 2,926.22

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Solution

The fourth proportional to 9,166.25, 13,749.21 and 2,926.22 is: 4,389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.25 : 13,749.21 = 2,926.22 : x
  2. Step 2: Convert to fraction form
    9,166.25/13,749.21 = 2,926.22/x
  3. Step 3: Cross multiply
    9,166.25x = 13,749.21 × 2,926.22
  4. Step 4: Simplify right side
    9,166.25x = 40,233,213.29
  5. Step 5: Solve for x
    x = 40,233,213.29/9,166.25
  6. Step 6: Final answer
    x = 4,389.28

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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.