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Finding the Fourth Proportional to 9,636.84, 14,446.35 and 3,792.15

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Solution

The fourth proportional to 9,636.84, 14,446.35 and 3,792.15 is: 5,684.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.84 : 14,446.35 = 3,792.15 : x
  2. Step 2: Convert to fraction form
    9,636.84/14,446.35 = 3,792.15/x
  3. Step 3: Cross multiply
    9,636.84x = 14,446.35 × 3,792.15
  4. Step 4: Simplify right side
    9,636.84x = 54,782,726.15
  5. Step 5: Solve for x
    x = 54,782,726.15/9,636.84
  6. Step 6: Final answer
    x = 5,684.72

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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.