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Finding the Fourth Proportional to 9,843.79, 14,767.59 and 3,182.08

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Solution

The fourth proportional to 9,843.79, 14,767.59 and 3,182.08 is: 4,773.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.79 : 14,767.59 = 3,182.08 : x
  2. Step 2: Convert to fraction form
    9,843.79/14,767.59 = 3,182.08/x
  3. Step 3: Cross multiply
    9,843.79x = 14,767.59 × 3,182.08
  4. Step 4: Simplify right side
    9,843.79x = 46,991,689.71
  5. Step 5: Solve for x
    x = 46,991,689.71/9,843.79
  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.