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Finding the Fourth Proportional to 6,080.42, 9,137.72 and 3,615.68

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Solution

The fourth proportional to 6,080.42, 9,137.72 and 3,615.68 is: 5,433.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,080.42 : 9,137.72 = 3,615.68 : x
  2. Step 2: Convert to fraction form
    6,080.42/9,137.72 = 3,615.68/x
  3. Step 3: Cross multiply
    6,080.42x = 9,137.72 × 3,615.68
  4. Step 4: Simplify right side
    6,080.42x = 33,039,071.45
  5. Step 5: Solve for x
    x = 33,039,071.45/6,080.42
  6. Step 6: Final answer
    x = 5,433.68

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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.