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Finding the Fourth Proportional to 9,766.94, 14,649.80 and 4,216.39

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Solution

The fourth proportional to 9,766.94, 14,649.80 and 4,216.39 is: 6,324.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.94 : 14,649.80 = 4,216.39 : x
  2. Step 2: Convert to fraction form
    9,766.94/14,649.80 = 4,216.39/x
  3. Step 3: Cross multiply
    9,766.94x = 14,649.80 × 4,216.39
  4. Step 4: Simplify right side
    9,766.94x = 61,769,212.52
  5. Step 5: Solve for x
    x = 61,769,212.52/9,766.94
  6. Step 6: Final answer
    x = 6,324.32

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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.