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Finding the Fourth Proportional to 9,288.53, 12,818.16 and 5,309.73

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Solution

The fourth proportional to 9,288.53, 12,818.16 and 5,309.73 is: 7,327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.53 : 12,818.16 = 5,309.73 : x
  2. Step 2: Convert to fraction form
    9,288.53/12,818.16 = 5,309.73/x
  3. Step 3: Cross multiply
    9,288.53x = 12,818.16 × 5,309.73
  4. Step 4: Simplify right side
    9,288.53x = 68,060,940.54
  5. Step 5: Solve for x
    x = 68,060,940.54/9,288.53
  6. Step 6: Final answer
    x = 7,327.42

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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.