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Finding the Fourth Proportional to 9,161.46, 13,742.16 and 2,587.62

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Solution

The fourth proportional to 9,161.46, 13,742.16 and 2,587.62 is: 3,881.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.46 : 13,742.16 = 2,587.62 : x
  2. Step 2: Convert to fraction form
    9,161.46/13,742.16 = 2,587.62/x
  3. Step 3: Cross multiply
    9,161.46x = 13,742.16 × 2,587.62
  4. Step 4: Simplify right side
    9,161.46x = 35,559,488.06
  5. Step 5: Solve for x
    x = 35,559,488.06/9,161.46
  6. Step 6: Final answer
    x = 3,881.42

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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.