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Finding the Fourth Proportional to 9,600.48, 14,401.16 and 3,027.17

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Solution

The fourth proportional to 9,600.48, 14,401.16 and 3,027.17 is: 4,540.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.48 : 14,401.16 = 3,027.17 : x
  2. Step 2: Convert to fraction form
    9,600.48/14,401.16 = 3,027.17/x
  3. Step 3: Cross multiply
    9,600.48x = 14,401.16 × 3,027.17
  4. Step 4: Simplify right side
    9,600.48x = 43,594,731.08
  5. Step 5: Solve for x
    x = 43,594,731.08/9,600.48
  6. Step 6: Final answer
    x = 4,540.89

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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.