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Finding the Fourth Proportional to 9,267.98, 13,902.74 and 2,694.16

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Solution

The fourth proportional to 9,267.98, 13,902.74 and 2,694.16 is: 4,041.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.98 : 13,902.74 = 2,694.16 : x
  2. Step 2: Convert to fraction form
    9,267.98/13,902.74 = 2,694.16/x
  3. Step 3: Cross multiply
    9,267.98x = 13,902.74 × 2,694.16
  4. Step 4: Simplify right side
    9,267.98x = 37,456,123.01
  5. Step 5: Solve for x
    x = 37,456,123.01/9,267.98
  6. Step 6: Final answer
    x = 4,041.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.