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Finding the Fourth Proportional to 6,842.36, 9,442.50 and 3,857.90

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Solution

The fourth proportional to 6,842.36, 9,442.50 and 3,857.90 is: 5,323.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.36 : 9,442.50 = 3,857.90 : x
  2. Step 2: Convert to fraction form
    6,842.36/9,442.50 = 3,857.90/x
  3. Step 3: Cross multiply
    6,842.36x = 9,442.50 × 3,857.90
  4. Step 4: Simplify right side
    6,842.36x = 36,428,220.75
  5. Step 5: Solve for x
    x = 36,428,220.75/6,842.36
  6. Step 6: Final answer
    x = 5,323.93

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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.