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Finding the Fourth Proportional to 9,285.64, 12,799.42 and 7,292.73

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Solution

The fourth proportional to 9,285.64, 12,799.42 and 7,292.73 is: 10,052.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.64 : 12,799.42 = 7,292.73 : x
  2. Step 2: Convert to fraction form
    9,285.64/12,799.42 = 7,292.73/x
  3. Step 3: Cross multiply
    9,285.64x = 12,799.42 × 7,292.73
  4. Step 4: Simplify right side
    9,285.64x = 93,342,743.98
  5. Step 5: Solve for x
    x = 93,342,743.98/9,285.64
  6. Step 6: Final answer
    x = 10,052.38

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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.