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Finding the Fourth Proportional to 9,673.68, 14,512.65 and 3,100.53

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Solution

The fourth proportional to 9,673.68, 14,512.65 and 3,100.53 is: 4,651.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.68 : 14,512.65 = 3,100.53 : x
  2. Step 2: Convert to fraction form
    9,673.68/14,512.65 = 3,100.53/x
  3. Step 3: Cross multiply
    9,673.68x = 14,512.65 × 3,100.53
  4. Step 4: Simplify right side
    9,673.68x = 44,996,906.70
  5. Step 5: Solve for x
    x = 44,996,906.70/9,673.68
  6. Step 6: Final answer
    x = 4,651.48

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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.