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Finding the Fourth Proportional to 6,818.49, 9,414.18 and 5,222.32

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Solution

The fourth proportional to 6,818.49, 9,414.18 and 5,222.32 is: 7,210.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,818.49 : 9,414.18 = 5,222.32 : x
  2. Step 2: Convert to fraction form
    6,818.49/9,414.18 = 5,222.32/x
  3. Step 3: Cross multiply
    6,818.49x = 9,414.18 × 5,222.32
  4. Step 4: Simplify right side
    6,818.49x = 49,163,787.32
  5. Step 5: Solve for x
    x = 49,163,787.32/6,818.49
  6. Step 6: Final answer
    x = 7,210.36

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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.