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Finding the Fourth Proportional to 6,154.01, 9,233.71 and 3,231.63

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Solution

The fourth proportional to 6,154.01, 9,233.71 and 3,231.63 is: 4,848.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.01 : 9,233.71 = 3,231.63 : x
  2. Step 2: Convert to fraction form
    6,154.01/9,233.71 = 3,231.63/x
  3. Step 3: Cross multiply
    6,154.01x = 9,233.71 × 3,231.63
  4. Step 4: Simplify right side
    6,154.01x = 29,839,934.25
  5. Step 5: Solve for x
    x = 29,839,934.25/6,154.01
  6. Step 6: Final answer
    x = 4,848.86

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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.