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Finding the Fourth Proportional to 6,809.76, 9,397.80 and 3,826.08

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Solution

The fourth proportional to 6,809.76, 9,397.80 and 3,826.08 is: 5,280.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.76 : 9,397.80 = 3,826.08 : x
  2. Step 2: Convert to fraction form
    6,809.76/9,397.80 = 3,826.08/x
  3. Step 3: Cross multiply
    6,809.76x = 9,397.80 × 3,826.08
  4. Step 4: Simplify right side
    6,809.76x = 35,956,734.62
  5. Step 5: Solve for x
    x = 35,956,734.62/6,809.76
  6. Step 6: Final answer
    x = 5,280.18

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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.