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Finding the Fourth Proportional to 9,275.43, 12,799.82 and 5,295.77

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Solution

The fourth proportional to 9,275.43, 12,799.82 and 5,295.77 is: 7,308.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.43 : 12,799.82 = 5,295.77 : x
  2. Step 2: Convert to fraction form
    9,275.43/12,799.82 = 5,295.77/x
  3. Step 3: Cross multiply
    9,275.43x = 12,799.82 × 5,295.77
  4. Step 4: Simplify right side
    9,275.43x = 67,784,902.76
  5. Step 5: Solve for x
    x = 67,784,902.76/9,275.43
  6. Step 6: Final answer
    x = 7,308.01

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