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Finding the Fourth Proportional to 9,203.50, 13,805.25 and 2,278

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Solution

The fourth proportional to 9,203.50, 13,805.25 and 2,278 is: 3,417

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.50 : 13,805.25 = 2,278 : x
  2. Step 2: Convert to fraction form
    9,203.50/13,805.25 = 2,278/x
  3. Step 3: Cross multiply
    9,203.50x = 13,805.25 × 2,278
  4. Step 4: Simplify right side
    9,203.50x = 31,448,359.50
  5. Step 5: Solve for x
    x = 31,448,359.50/9,203.50
  6. Step 6: Final answer
    x = 3,417

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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.