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Finding the Fourth Proportional to 9,182.44, 12,670.73 and 5,202.70

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Solution

The fourth proportional to 9,182.44, 12,670.73 and 5,202.70 is: 7,179.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.44 : 12,670.73 = 5,202.70 : x
  2. Step 2: Convert to fraction form
    9,182.44/12,670.73 = 5,202.70/x
  3. Step 3: Cross multiply
    9,182.44x = 12,670.73 × 5,202.70
  4. Step 4: Simplify right side
    9,182.44x = 65,922,006.97
  5. Step 5: Solve for x
    x = 65,922,006.97/9,182.44
  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.