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Finding the Fourth Proportional to 9,257, 13,884.48 and 2,331.50

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Solution

The fourth proportional to 9,257, 13,884.48 and 2,331.50 is: 3,496.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257 : 13,884.48 = 2,331.50 : x
  2. Step 2: Convert to fraction form
    9,257/13,884.48 = 2,331.50/x
  3. Step 3: Cross multiply
    9,257x = 13,884.48 × 2,331.50
  4. Step 4: Simplify right side
    9,257x = 32,371,665.12
  5. Step 5: Solve for x
    x = 32,371,665.12/9,257
  6. Step 6: Final answer
    x = 3,496.99

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Why These Related Problems?

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