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Finding the Fourth Proportional to 6,156, 9,233.91 and 2,867.25

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Solution

The fourth proportional to 6,156, 9,233.91 and 2,867.25 is: 4,300.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156 : 9,233.91 = 2,867.25 : x
  2. Step 2: Convert to fraction form
    6,156/9,233.91 = 2,867.25/x
  3. Step 3: Cross multiply
    6,156x = 9,233.91 × 2,867.25
  4. Step 4: Simplify right side
    6,156x = 26,475,928.45
  5. Step 5: Solve for x
    x = 26,475,928.45/6,156
  6. Step 6: Final answer
    x = 4,300.83

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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.