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Finding the Fourth Proportional to 9,522.63, 14,283.68 and 3,282.53

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Solution

The fourth proportional to 9,522.63, 14,283.68 and 3,282.53 is: 4,923.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.63 : 14,283.68 = 3,282.53 : x
  2. Step 2: Convert to fraction form
    9,522.63/14,283.68 = 3,282.53/x
  3. Step 3: Cross multiply
    9,522.63x = 14,283.68 × 3,282.53
  4. Step 4: Simplify right side
    9,522.63x = 46,886,520.28
  5. Step 5: Solve for x
    x = 46,886,520.28/9,522.63
  6. Step 6: Final answer
    x = 4,923.69

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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.