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Finding the Fourth Proportional to 9,161.64, 13,743.60 and 2,919.96

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Solution

The fourth proportional to 9,161.64, 13,743.60 and 2,919.96 is: 4,380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.64 : 13,743.60 = 2,919.96 : x
  2. Step 2: Convert to fraction form
    9,161.64/13,743.60 = 2,919.96/x
  3. Step 3: Cross multiply
    9,161.64x = 13,743.60 × 2,919.96
  4. Step 4: Simplify right side
    9,161.64x = 40,130,762.26
  5. Step 5: Solve for x
    x = 40,130,762.26/9,161.64
  6. Step 6: Final answer
    x = 4,380.30

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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.