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Finding the Fourth Proportional to 9,292.64, 12,824.04 and 5,100.86

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Solution

The fourth proportional to 9,292.64, 12,824.04 and 5,100.86 is: 7,039.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.64 : 12,824.04 = 5,100.86 : x
  2. Step 2: Convert to fraction form
    9,292.64/12,824.04 = 5,100.86/x
  3. Step 3: Cross multiply
    9,292.64x = 12,824.04 × 5,100.86
  4. Step 4: Simplify right side
    9,292.64x = 65,413,632.67
  5. Step 5: Solve for x
    x = 65,413,632.67/9,292.64
  6. Step 6: Final answer
    x = 7,039.29

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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.