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Finding the Fourth Proportional to 9,232.80, 13,849.28 and 2,659

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Solution

The fourth proportional to 9,232.80, 13,849.28 and 2,659 is: 3,988.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.80 : 13,849.28 = 2,659 : x
  2. Step 2: Convert to fraction form
    9,232.80/13,849.28 = 2,659/x
  3. Step 3: Cross multiply
    9,232.80x = 13,849.28 × 2,659
  4. Step 4: Simplify right side
    9,232.80x = 36,825,235.52
  5. Step 5: Solve for x
    x = 36,825,235.52/9,232.80
  6. Step 6: Final answer
    x = 3,988.52

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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.