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Finding the Fourth Proportional to 9,601.28, 14,375.16 and 4,911.20

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Solution

The fourth proportional to 9,601.28, 14,375.16 and 4,911.20 is: 7,353.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.28 : 14,375.16 = 4,911.20 : x
  2. Step 2: Convert to fraction form
    9,601.28/14,375.16 = 4,911.20/x
  3. Step 3: Cross multiply
    9,601.28x = 14,375.16 × 4,911.20
  4. Step 4: Simplify right side
    9,601.28x = 70,599,285.79
  5. Step 5: Solve for x
    x = 70,599,285.79/9,601.28
  6. Step 6: Final answer
    x = 7,353.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.