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Finding the Fourth Proportional to 9,768.28, 14,660.11 and 5,024.25

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Solution

The fourth proportional to 9,768.28, 14,660.11 and 5,024.25 is: 7,540.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.28 : 14,660.11 = 5,024.25 : x
  2. Step 2: Convert to fraction form
    9,768.28/14,660.11 = 5,024.25/x
  3. Step 3: Cross multiply
    9,768.28x = 14,660.11 × 5,024.25
  4. Step 4: Simplify right side
    9,768.28x = 73,655,999.55
  5. Step 5: Solve for x
    x = 73,655,999.55/9,768.28
  6. Step 6: Final answer
    x = 7,540.32

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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.