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Finding the Fourth Proportional to 6,142.36, 9,210.99 and 3,798.93

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Solution

The fourth proportional to 6,142.36, 9,210.99 and 3,798.93 is: 5,696.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.36 : 9,210.99 = 3,798.93 : x
  2. Step 2: Convert to fraction form
    6,142.36/9,210.99 = 3,798.93/x
  3. Step 3: Cross multiply
    6,142.36x = 9,210.99 × 3,798.93
  4. Step 4: Simplify right side
    6,142.36x = 34,991,906.24
  5. Step 5: Solve for x
    x = 34,991,906.24/6,142.36
  6. Step 6: Final answer
    x = 5,696.82

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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.