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Finding the Fourth Proportional to 9,649.67, 14,463.95 and 4,969.97

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Solution

The fourth proportional to 9,649.67, 14,463.95 and 4,969.97 is: 7,449.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.67 : 14,463.95 = 4,969.97 : x
  2. Step 2: Convert to fraction form
    9,649.67/14,463.95 = 4,969.97/x
  3. Step 3: Cross multiply
    9,649.67x = 14,463.95 × 4,969.97
  4. Step 4: Simplify right side
    9,649.67x = 71,885,300.41
  5. Step 5: Solve for x
    x = 71,885,300.41/9,649.67
  6. Step 6: Final answer
    x = 7,449.51

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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.