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Finding the Fourth Proportional to 9,792.20, 14,688 and 2,396.68

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Solution

The fourth proportional to 9,792.20, 14,688 and 2,396.68 is: 3,594.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.20 : 14,688 = 2,396.68 : x
  2. Step 2: Convert to fraction form
    9,792.20/14,688 = 2,396.68/x
  3. Step 3: Cross multiply
    9,792.20x = 14,688 × 2,396.68
  4. Step 4: Simplify right side
    9,792.20x = 35,202,435.84
  5. Step 5: Solve for x
    x = 35,202,435.84/9,792.20
  6. Step 6: Final answer
    x = 3,594.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.