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Finding the Fourth Proportional to 6,133.93, 9,194.51 and 2,840.97

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Solution

The fourth proportional to 6,133.93, 9,194.51 and 2,840.97 is: 4,258.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.93 : 9,194.51 = 2,840.97 : x
  2. Step 2: Convert to fraction form
    6,133.93/9,194.51 = 2,840.97/x
  3. Step 3: Cross multiply
    6,133.93x = 9,194.51 × 2,840.97
  4. Step 4: Simplify right side
    6,133.93x = 26,121,368.66
  5. Step 5: Solve for x
    x = 26,121,368.66/6,133.93
  6. Step 6: Final answer
    x = 4,258.51

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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.