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Finding the Fourth Proportional to 9,668.95, 14,503.43 and 2,649.02

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Solution

The fourth proportional to 9,668.95, 14,503.43 and 2,649.02 is: 3,973.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.95 : 14,503.43 = 2,649.02 : x
  2. Step 2: Convert to fraction form
    9,668.95/14,503.43 = 2,649.02/x
  3. Step 3: Cross multiply
    9,668.95x = 14,503.43 × 2,649.02
  4. Step 4: Simplify right side
    9,668.95x = 38,419,882.76
  5. Step 5: Solve for x
    x = 38,419,882.76/9,668.95
  6. Step 6: Final answer
    x = 3,973.53

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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.