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Finding the Fourth Proportional to 9,288.75, 12,818.49 and 5,097

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Solution

The fourth proportional to 9,288.75, 12,818.49 and 5,097 is: 7,033.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.75 : 12,818.49 = 5,097 : x
  2. Step 2: Convert to fraction form
    9,288.75/12,818.49 = 5,097/x
  3. Step 3: Cross multiply
    9,288.75x = 12,818.49 × 5,097
  4. Step 4: Simplify right side
    9,288.75x = 65,335,843.53
  5. Step 5: Solve for x
    x = 65,335,843.53/9,288.75
  6. Step 6: Final answer
    x = 7,033.87

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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.