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Finding the Fourth Proportional to 9,181.22, 12,670.16 and 5,202.24

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Solution

The fourth proportional to 9,181.22, 12,670.16 and 5,202.24 is: 7,179.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.22 : 12,670.16 = 5,202.24 : x
  2. Step 2: Convert to fraction form
    9,181.22/12,670.16 = 5,202.24/x
  3. Step 3: Cross multiply
    9,181.22x = 12,670.16 × 5,202.24
  4. Step 4: Simplify right side
    9,181.22x = 65,913,187.15
  5. Step 5: Solve for x
    x = 65,913,187.15/9,181.22
  6. Step 6: Final answer
    x = 7,179.14

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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.