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Finding the Fourth Proportional to 6,842.03, 9,442.01 and 3,698.22

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Solution

The fourth proportional to 6,842.03, 9,442.01 and 3,698.22 is: 5,103.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.03 : 9,442.01 = 3,698.22 : x
  2. Step 2: Convert to fraction form
    6,842.03/9,442.01 = 3,698.22/x
  3. Step 3: Cross multiply
    6,842.03x = 9,442.01 × 3,698.22
  4. Step 4: Simplify right side
    6,842.03x = 34,918,630.22
  5. Step 5: Solve for x
    x = 34,918,630.22/6,842.03
  6. Step 6: Final answer
    x = 5,103.55

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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.