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Finding the Fourth Proportional to 9,601.28, 14,391.84 and 4,402.88

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Solution

The fourth proportional to 9,601.28, 14,391.84 and 4,402.88 is: 6,599.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.28 : 14,391.84 = 4,402.88 : x
  2. Step 2: Convert to fraction form
    9,601.28/14,391.84 = 4,402.88/x
  3. Step 3: Cross multiply
    9,601.28x = 14,391.84 × 4,402.88
  4. Step 4: Simplify right side
    9,601.28x = 63,365,544.50
  5. Step 5: Solve for x
    x = 63,365,544.50/9,601.28
  6. Step 6: Final answer
    x = 6,599.70

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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.