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Finding the Fourth Proportional to 9,696.24, 14,546.28 and 3,121.92

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Solution

The fourth proportional to 9,696.24, 14,546.28 and 3,121.92 is: 4,683.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.24 : 14,546.28 = 3,121.92 : x
  2. Step 2: Convert to fraction form
    9,696.24/14,546.28 = 3,121.92/x
  3. Step 3: Cross multiply
    9,696.24x = 14,546.28 × 3,121.92
  4. Step 4: Simplify right side
    9,696.24x = 45,412,322.46
  5. Step 5: Solve for x
    x = 45,412,322.46/9,696.24
  6. Step 6: Final answer
    x = 4,683.50

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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.