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Finding the Fourth Proportional to 6,842.28, 9,442.19 and 3,858.04

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Solution

The fourth proportional to 6,842.28, 9,442.19 and 3,858.04 is: 5,324.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.28 : 9,442.19 = 3,858.04 : x
  2. Step 2: Convert to fraction form
    6,842.28/9,442.19 = 3,858.04/x
  3. Step 3: Cross multiply
    6,842.28x = 9,442.19 × 3,858.04
  4. Step 4: Simplify right side
    6,842.28x = 36,428,332.75
  5. Step 5: Solve for x
    x = 36,428,332.75/6,842.28
  6. Step 6: Final answer
    x = 5,324.00

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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.