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Finding the Fourth Proportional to 9,766.52, 14,649.78 and 2,370.99

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Solution

The fourth proportional to 9,766.52, 14,649.78 and 2,370.99 is: 3,556.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.52 : 14,649.78 = 2,370.99 : x
  2. Step 2: Convert to fraction form
    9,766.52/14,649.78 = 2,370.99/x
  3. Step 3: Cross multiply
    9,766.52x = 14,649.78 × 2,370.99
  4. Step 4: Simplify right side
    9,766.52x = 34,734,481.88
  5. Step 5: Solve for x
    x = 34,734,481.88/9,766.52
  6. Step 6: Final answer
    x = 3,556.49

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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.