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Finding the Fourth Proportional to 9,181.77, 12,670.34 and 5,202.80

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Solution

The fourth proportional to 9,181.77, 12,670.34 and 5,202.80 is: 7,179.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.77 : 12,670.34 = 5,202.80 : x
  2. Step 2: Convert to fraction form
    9,181.77/12,670.34 = 5,202.80/x
  3. Step 3: Cross multiply
    9,181.77x = 12,670.34 × 5,202.80
  4. Step 4: Simplify right side
    9,181.77x = 65,921,181.60
  5. Step 5: Solve for x
    x = 65,921,181.60/9,181.77
  6. Step 6: Final answer
    x = 7,179.57

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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.