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Finding the Fourth Proportional to 9,170.58, 12,665.82 and 6,181.26

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Solution

The fourth proportional to 9,170.58, 12,665.82 and 6,181.26 is: 8,537.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.58 : 12,665.82 = 6,181.26 : x
  2. Step 2: Convert to fraction form
    9,170.58/12,665.82 = 6,181.26/x
  3. Step 3: Cross multiply
    9,170.58x = 12,665.82 × 6,181.26
  4. Step 4: Simplify right side
    9,170.58x = 78,290,726.53
  5. Step 5: Solve for x
    x = 78,290,726.53/9,170.58
  6. Step 6: Final answer
    x = 8,537.16

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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.