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Finding the Fourth Proportional to 9,266.56, 12,787.92 and 5,075.20

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Solution

The fourth proportional to 9,266.56, 12,787.92 and 5,075.20 is: 7,003.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.56 : 12,787.92 = 5,075.20 : x
  2. Step 2: Convert to fraction form
    9,266.56/12,787.92 = 5,075.20/x
  3. Step 3: Cross multiply
    9,266.56x = 12,787.92 × 5,075.20
  4. Step 4: Simplify right side
    9,266.56x = 64,901,251.58
  5. Step 5: Solve for x
    x = 64,901,251.58/9,266.56
  6. Step 6: Final answer
    x = 7,003.81

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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.