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Finding the Fourth Proportional to 9,696.06, 14,544.18 and 7,961.04

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Solution

The fourth proportional to 9,696.06, 14,544.18 and 7,961.04 is: 11,941.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.06 : 14,544.18 = 7,961.04 : x
  2. Step 2: Convert to fraction form
    9,696.06/14,544.18 = 7,961.04/x
  3. Step 3: Cross multiply
    9,696.06x = 14,544.18 × 7,961.04
  4. Step 4: Simplify right side
    9,696.06x = 115,786,798.75
  5. Step 5: Solve for x
    x = 115,786,798.75/9,696.06
  6. Step 6: Final answer
    x = 11,941.63

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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.