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Finding the Fourth Proportional to 6,841.98, 9,441.91 and 3,698.16

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Solution

The fourth proportional to 6,841.98, 9,441.91 and 3,698.16 is: 5,103.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.98 : 9,441.91 = 3,698.16 : x
  2. Step 2: Convert to fraction form
    6,841.98/9,441.91 = 3,698.16/x
  3. Step 3: Cross multiply
    6,841.98x = 9,441.91 × 3,698.16
  4. Step 4: Simplify right side
    6,841.98x = 34,917,693.89
  5. Step 5: Solve for x
    x = 34,917,693.89/6,841.98
  6. Step 6: Final answer
    x = 5,103.45

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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.