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Finding the Fourth Proportional to 9,181.87, 12,670.76 and 5,354.21

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Solution

The fourth proportional to 9,181.87, 12,670.76 and 5,354.21 is: 7,388.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.87 : 12,670.76 = 5,354.21 : x
  2. Step 2: Convert to fraction form
    9,181.87/12,670.76 = 5,354.21/x
  3. Step 3: Cross multiply
    9,181.87x = 12,670.76 × 5,354.21
  4. Step 4: Simplify right side
    9,181.87x = 67,841,909.90
  5. Step 5: Solve for x
    x = 67,841,909.90/9,181.87
  6. Step 6: Final answer
    x = 7,388.69

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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.