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Finding the Fourth Proportional to 9,161.34, 13,742.10 and 2,922.30

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Solution

The fourth proportional to 9,161.34, 13,742.10 and 2,922.30 is: 4,383.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.34 : 13,742.10 = 2,922.30 : x
  2. Step 2: Convert to fraction form
    9,161.34/13,742.10 = 2,922.30/x
  3. Step 3: Cross multiply
    9,161.34x = 13,742.10 × 2,922.30
  4. Step 4: Simplify right side
    9,161.34x = 40,158,538.83
  5. Step 5: Solve for x
    x = 40,158,538.83/9,161.34
  6. Step 6: Final answer
    x = 4,383.48

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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.