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Finding the Fourth Proportional to 9,266.70, 12,787.55 and 5,288.18

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Solution

The fourth proportional to 9,266.70, 12,787.55 and 5,288.18 is: 7,297.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.70 : 12,787.55 = 5,288.18 : x
  2. Step 2: Convert to fraction form
    9,266.70/12,787.55 = 5,288.18/x
  3. Step 3: Cross multiply
    9,266.70x = 12,787.55 × 5,288.18
  4. Step 4: Simplify right side
    9,266.70x = 67,622,879.38
  5. Step 5: Solve for x
    x = 67,622,879.38/9,266.70
  6. Step 6: Final answer
    x = 7,297.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.