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Finding the Fourth Proportional to 9,767.83, 14,652.65 and 3,194.68

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Solution

The fourth proportional to 9,767.83, 14,652.65 and 3,194.68 is: 4,792.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.83 : 14,652.65 = 3,194.68 : x
  2. Step 2: Convert to fraction form
    9,767.83/14,652.65 = 3,194.68/x
  3. Step 3: Cross multiply
    9,767.83x = 14,652.65 × 3,194.68
  4. Step 4: Simplify right side
    9,767.83x = 46,810,499.26
  5. Step 5: Solve for x
    x = 46,810,499.26/9,767.83
  6. Step 6: Final answer
    x = 4,792.31

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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.