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Finding the Fourth Proportional to 9,269.68, 12,792 and 5,077.84

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Solution

The fourth proportional to 9,269.68, 12,792 and 5,077.84 is: 7,007.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.68 : 12,792 = 5,077.84 : x
  2. Step 2: Convert to fraction form
    9,269.68/12,792 = 5,077.84/x
  3. Step 3: Cross multiply
    9,269.68x = 12,792 × 5,077.84
  4. Step 4: Simplify right side
    9,269.68x = 64,955,729.28
  5. Step 5: Solve for x
    x = 64,955,729.28/9,269.68
  6. Step 6: Final answer
    x = 7,007.33

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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.