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Finding the Fourth Proportional to 6,089.12, 9,122.88 and 3,616.64

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Solution

The fourth proportional to 6,089.12, 9,122.88 and 3,616.64 is: 5,418.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.12 : 9,122.88 = 3,616.64 : x
  2. Step 2: Convert to fraction form
    6,089.12/9,122.88 = 3,616.64/x
  3. Step 3: Cross multiply
    6,089.12x = 9,122.88 × 3,616.64
  4. Step 4: Simplify right side
    6,089.12x = 32,994,172.72
  5. Step 5: Solve for x
    x = 32,994,172.72/6,089.12
  6. Step 6: Final answer
    x = 5,418.55

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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.