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Finding the Fourth Proportional to 9,696.84, 14,546.64 and 3,120.84

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Solution

The fourth proportional to 9,696.84, 14,546.64 and 3,120.84 is: 4,681.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.84 : 14,546.64 = 3,120.84 : x
  2. Step 2: Convert to fraction form
    9,696.84/14,546.64 = 3,120.84/x
  3. Step 3: Cross multiply
    9,696.84x = 14,546.64 × 3,120.84
  4. Step 4: Simplify right side
    9,696.84x = 45,397,735.98
  5. Step 5: Solve for x
    x = 45,397,735.98/9,696.84
  6. Step 6: Final answer
    x = 4,681.70

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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.