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Finding the Fourth Proportional to 6,064.62, 9,097.12 and 2,366.70

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Solution

The fourth proportional to 6,064.62, 9,097.12 and 2,366.70 is: 3,550.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,064.62 : 9,097.12 = 2,366.70 : x
  2. Step 2: Convert to fraction form
    6,064.62/9,097.12 = 2,366.70/x
  3. Step 3: Cross multiply
    6,064.62x = 9,097.12 × 2,366.70
  4. Step 4: Simplify right side
    6,064.62x = 21,530,153.90
  5. Step 5: Solve for x
    x = 21,530,153.90/6,064.62
  6. Step 6: Final answer
    x = 3,550.12

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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.