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Finding the Fourth Proportional to 9,085.95, 13,628.88 and 2,422.43

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Solution

The fourth proportional to 9,085.95, 13,628.88 and 2,422.43 is: 3,633.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085.95 : 13,628.88 = 2,422.43 : x
  2. Step 2: Convert to fraction form
    9,085.95/13,628.88 = 2,422.43/x
  3. Step 3: Cross multiply
    9,085.95x = 13,628.88 × 2,422.43
  4. Step 4: Simplify right side
    9,085.95x = 33,015,035.89
  5. Step 5: Solve for x
    x = 33,015,035.89/9,085.95
  6. Step 6: Final answer
    x = 3,633.64

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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.