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Finding the Fourth Proportional to 6,154.71, 9,232.08 and 2,259.12

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Solution

The fourth proportional to 6,154.71, 9,232.08 and 2,259.12 is: 3,388.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.71 : 9,232.08 = 2,259.12 : x
  2. Step 2: Convert to fraction form
    6,154.71/9,232.08 = 2,259.12/x
  3. Step 3: Cross multiply
    6,154.71x = 9,232.08 × 2,259.12
  4. Step 4: Simplify right side
    6,154.71x = 20,856,376.57
  5. Step 5: Solve for x
    x = 20,856,376.57/6,154.71
  6. Step 6: Final answer
    x = 3,388.69

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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.