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Finding the Fourth Proportional to 9,843.80, 14,767.59 and 3,182.09

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Solution

The fourth proportional to 9,843.80, 14,767.59 and 3,182.09 is: 4,773.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.80 : 14,767.59 = 3,182.09 : x
  2. Step 2: Convert to fraction form
    9,843.80/14,767.59 = 3,182.09/x
  3. Step 3: Cross multiply
    9,843.80x = 14,767.59 × 3,182.09
  4. Step 4: Simplify right side
    9,843.80x = 46,991,726.63
  5. Step 5: Solve for x
    x = 46,991,726.63/9,843.80
  6. Step 6: Final answer
    x = 4,773.74

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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.