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Finding the Fourth Proportional to 9,650.86, 14,468.56 and 6,339.71

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Solution

The fourth proportional to 9,650.86, 14,468.56 and 6,339.71 is: 9,504.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.86 : 14,468.56 = 6,339.71 : x
  2. Step 2: Convert to fraction form
    9,650.86/14,468.56 = 6,339.71/x
  3. Step 3: Cross multiply
    9,650.86x = 14,468.56 × 6,339.71
  4. Step 4: Simplify right side
    9,650.86x = 91,726,494.84
  5. Step 5: Solve for x
    x = 91,726,494.84/9,650.86
  6. Step 6: Final answer
    x = 9,504.49

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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.