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Finding the Fourth Proportional to 9,274.49, 12,798.84 and 5,025.62

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Solution

The fourth proportional to 9,274.49, 12,798.84 and 5,025.62 is: 6,935.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.49 : 12,798.84 = 5,025.62 : x
  2. Step 2: Convert to fraction form
    9,274.49/12,798.84 = 5,025.62/x
  3. Step 3: Cross multiply
    9,274.49x = 12,798.84 × 5,025.62
  4. Step 4: Simplify right side
    9,274.49x = 64,322,042.29
  5. Step 5: Solve for x
    x = 64,322,042.29/9,274.49
  6. Step 6: Final answer
    x = 6,935.38

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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.