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Finding the Fourth Proportional to 9,522.68, 14,283.22 and 3,282.68

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Solution

The fourth proportional to 9,522.68, 14,283.22 and 3,282.68 is: 4,923.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.68 : 14,283.22 = 3,282.68 : x
  2. Step 2: Convert to fraction form
    9,522.68/14,283.22 = 3,282.68/x
  3. Step 3: Cross multiply
    9,522.68x = 14,283.22 × 3,282.68
  4. Step 4: Simplify right side
    9,522.68x = 46,887,240.63
  5. Step 5: Solve for x
    x = 46,887,240.63/9,522.68
  6. Step 6: Final answer
    x = 4,923.74

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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.