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Finding the Fourth Proportional to 9,636.17, 14,443.92 and 4,084.83

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Solution

The fourth proportional to 9,636.17, 14,443.92 and 4,084.83 is: 6,122.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.17 : 14,443.92 = 4,084.83 : x
  2. Step 2: Convert to fraction form
    9,636.17/14,443.92 = 4,084.83/x
  3. Step 3: Cross multiply
    9,636.17x = 14,443.92 × 4,084.83
  4. Step 4: Simplify right side
    9,636.17x = 59,000,957.73
  5. Step 5: Solve for x
    x = 59,000,957.73/9,636.17
  6. Step 6: Final answer
    x = 6,122.87

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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.