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Finding the Fourth Proportional to 6,953.20, 9,595.44 and 3,809.44

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Solution

The fourth proportional to 6,953.20, 9,595.44 and 3,809.44 is: 5,257.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.20 : 9,595.44 = 3,809.44 : x
  2. Step 2: Convert to fraction form
    6,953.20/9,595.44 = 3,809.44/x
  3. Step 3: Cross multiply
    6,953.20x = 9,595.44 × 3,809.44
  4. Step 4: Simplify right side
    6,953.20x = 36,553,252.95
  5. Step 5: Solve for x
    x = 36,553,252.95/6,953.20
  6. Step 6: Final answer
    x = 5,257.04

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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.