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Finding the Fourth Proportional to 9,287.34, 13,930.72 and 2,267.39

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Solution

The fourth proportional to 9,287.34, 13,930.72 and 2,267.39 is: 3,401.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.34 : 13,930.72 = 2,267.39 : x
  2. Step 2: Convert to fraction form
    9,287.34/13,930.72 = 2,267.39/x
  3. Step 3: Cross multiply
    9,287.34x = 13,930.72 × 2,267.39
  4. Step 4: Simplify right side
    9,287.34x = 31,586,366.28
  5. Step 5: Solve for x
    x = 31,586,366.28/9,287.34
  6. Step 6: Final answer
    x = 3,401.01

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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.