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Finding the Fourth Proportional to 9,843.01, 14,766.01 and 3,177.28

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Solution

The fourth proportional to 9,843.01, 14,766.01 and 3,177.28 is: 4,766.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.01 : 14,766.01 = 3,177.28 : x
  2. Step 2: Convert to fraction form
    9,843.01/14,766.01 = 3,177.28/x
  3. Step 3: Cross multiply
    9,843.01x = 14,766.01 × 3,177.28
  4. Step 4: Simplify right side
    9,843.01x = 46,915,758.77
  5. Step 5: Solve for x
    x = 46,915,758.77/9,843.01
  6. Step 6: Final answer
    x = 4,766.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.