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Finding the Fourth Proportional to 9,669.62, 14,504.70 and 3,100.70

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Solution

The fourth proportional to 9,669.62, 14,504.70 and 3,100.70 is: 4,651.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.62 : 14,504.70 = 3,100.70 : x
  2. Step 2: Convert to fraction form
    9,669.62/14,504.70 = 3,100.70/x
  3. Step 3: Cross multiply
    9,669.62x = 14,504.70 × 3,100.70
  4. Step 4: Simplify right side
    9,669.62x = 44,974,723.29
  5. Step 5: Solve for x
    x = 44,974,723.29/9,669.62
  6. Step 6: Final answer
    x = 4,651.14

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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.