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Finding the Fourth Proportional to 6,129.67, 9,133.63 and 5,832.13

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Solution

The fourth proportional to 6,129.67, 9,133.63 and 5,832.13 is: 8,690.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.67 : 9,133.63 = 5,832.13 : x
  2. Step 2: Convert to fraction form
    6,129.67/9,133.63 = 5,832.13/x
  3. Step 3: Cross multiply
    6,129.67x = 9,133.63 × 5,832.13
  4. Step 4: Simplify right side
    6,129.67x = 53,268,517.53
  5. Step 5: Solve for x
    x = 53,268,517.53/6,129.67
  6. Step 6: Final answer
    x = 8,690.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.