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Finding the Fourth Proportional to 9,266, 12,787.08 and 5,954

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Solution

The fourth proportional to 9,266, 12,787.08 and 5,954 is: 8,216.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266 : 12,787.08 = 5,954 : x
  2. Step 2: Convert to fraction form
    9,266/12,787.08 = 5,954/x
  3. Step 3: Cross multiply
    9,266x = 12,787.08 × 5,954
  4. Step 4: Simplify right side
    9,266x = 76,134,274.32
  5. Step 5: Solve for x
    x = 76,134,274.32/9,266
  6. Step 6: Final answer
    x = 8,216.52

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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.