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Finding the Fourth Proportional to 9,781.93, 13,484.14 and 5,998.09

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Solution

The fourth proportional to 9,781.93, 13,484.14 and 5,998.09 is: 8,268.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.93 : 13,484.14 = 5,998.09 : x
  2. Step 2: Convert to fraction form
    9,781.93/13,484.14 = 5,998.09/x
  3. Step 3: Cross multiply
    9,781.93x = 13,484.14 × 5,998.09
  4. Step 4: Simplify right side
    9,781.93x = 80,879,085.29
  5. Step 5: Solve for x
    x = 80,879,085.29/9,781.93
  6. Step 6: Final answer
    x = 8,268.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.