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Finding the Fourth Proportional to 6,154.14, 9,232.02 and 2,261.28

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Solution

The fourth proportional to 6,154.14, 9,232.02 and 2,261.28 is: 3,392.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.14 : 9,232.02 = 2,261.28 : x
  2. Step 2: Convert to fraction form
    6,154.14/9,232.02 = 2,261.28/x
  3. Step 3: Cross multiply
    6,154.14x = 9,232.02 × 2,261.28
  4. Step 4: Simplify right side
    6,154.14x = 20,876,182.19
  5. Step 5: Solve for x
    x = 20,876,182.19/6,154.14
  6. Step 6: Final answer
    x = 3,392.22

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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.