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Finding the Fourth Proportional to 6,953.34, 9,595.62 and 3,809.61

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Solution

The fourth proportional to 6,953.34, 9,595.62 and 3,809.61 is: 5,257.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.34 : 9,595.62 = 3,809.61 : x
  2. Step 2: Convert to fraction form
    6,953.34/9,595.62 = 3,809.61/x
  3. Step 3: Cross multiply
    6,953.34x = 9,595.62 × 3,809.61
  4. Step 4: Simplify right side
    6,953.34x = 36,555,569.91
  5. Step 5: Solve for x
    x = 36,555,569.91/6,953.34
  6. Step 6: Final answer
    x = 5,257.27

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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.