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Finding the Fourth Proportional to 6,154.32, 9,224.62 and 2,455.60

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Solution

The fourth proportional to 6,154.32, 9,224.62 and 2,455.60 is: 3,680.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.32 : 9,224.62 = 2,455.60 : x
  2. Step 2: Convert to fraction form
    6,154.32/9,224.62 = 2,455.60/x
  3. Step 3: Cross multiply
    6,154.32x = 9,224.62 × 2,455.60
  4. Step 4: Simplify right side
    6,154.32x = 22,651,976.87
  5. Step 5: Solve for x
    x = 22,651,976.87/6,154.32
  6. Step 6: Final answer
    x = 3,680.66

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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.