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Finding the Fourth Proportional to 9,782.91, 14,649.30 and 5,395.50

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Solution

The fourth proportional to 9,782.91, 14,649.30 and 5,395.50 is: 8,079.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.91 : 14,649.30 = 5,395.50 : x
  2. Step 2: Convert to fraction form
    9,782.91/14,649.30 = 5,395.50/x
  3. Step 3: Cross multiply
    9,782.91x = 14,649.30 × 5,395.50
  4. Step 4: Simplify right side
    9,782.91x = 79,040,298.15
  5. Step 5: Solve for x
    x = 79,040,298.15/9,782.91
  6. Step 6: Final answer
    x = 8,079.43

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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.