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Finding the Fourth Proportional to 9,758.99, 14,636.13 and 2,739.30

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Solution

The fourth proportional to 9,758.99, 14,636.13 and 2,739.30 is: 4,108.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.99 : 14,636.13 = 2,739.30 : x
  2. Step 2: Convert to fraction form
    9,758.99/14,636.13 = 2,739.30/x
  3. Step 3: Cross multiply
    9,758.99x = 14,636.13 × 2,739.30
  4. Step 4: Simplify right side
    9,758.99x = 40,092,750.91
  5. Step 5: Solve for x
    x = 40,092,750.91/9,758.99
  6. Step 6: Final answer
    x = 4,108.29

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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.