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Finding the Fourth Proportional to 9,843.33, 14,766.48 and 3,177.60

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Solution

The fourth proportional to 9,843.33, 14,766.48 and 3,177.60 is: 4,766.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.33 : 14,766.48 = 3,177.60 : x
  2. Step 2: Convert to fraction form
    9,843.33/14,766.48 = 3,177.60/x
  3. Step 3: Cross multiply
    9,843.33x = 14,766.48 × 3,177.60
  4. Step 4: Simplify right side
    9,843.33x = 46,921,877.13
  5. Step 5: Solve for x
    x = 46,921,877.13/9,843.33
  6. Step 6: Final answer
    x = 4,766.87

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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.