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Finding the Fourth Proportional to 9,792.88, 13,516 and 5,601.12

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Solution

The fourth proportional to 9,792.88, 13,516 and 5,601.12 is: 7,730.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.88 : 13,516 = 5,601.12 : x
  2. Step 2: Convert to fraction form
    9,792.88/13,516 = 5,601.12/x
  3. Step 3: Cross multiply
    9,792.88x = 13,516 × 5,601.12
  4. Step 4: Simplify right side
    9,792.88x = 75,704,737.92
  5. Step 5: Solve for x
    x = 75,704,737.92/9,792.88
  6. Step 6: Final answer
    x = 7,730.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.