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Finding the Fourth Proportional to 9,203.52, 13,805.28 and 2,278.02

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Solution

The fourth proportional to 9,203.52, 13,805.28 and 2,278.02 is: 3,417.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.52 : 13,805.28 = 2,278.02 : x
  2. Step 2: Convert to fraction form
    9,203.52/13,805.28 = 2,278.02/x
  3. Step 3: Cross multiply
    9,203.52x = 13,805.28 × 2,278.02
  4. Step 4: Simplify right side
    9,203.52x = 31,448,692.56
  5. Step 5: Solve for x
    x = 31,448,692.56/9,203.52
  6. Step 6: Final answer
    x = 3,417.03

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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.