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Finding the Fourth Proportional to 6,953.38, 9,595.80 and 3,809.36

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Solution

The fourth proportional to 6,953.38, 9,595.80 and 3,809.36 is: 5,256.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.38 : 9,595.80 = 3,809.36 : x
  2. Step 2: Convert to fraction form
    6,953.38/9,595.80 = 3,809.36/x
  3. Step 3: Cross multiply
    6,953.38x = 9,595.80 × 3,809.36
  4. Step 4: Simplify right side
    6,953.38x = 36,553,856.69
  5. Step 5: Solve for x
    x = 36,553,856.69/6,953.38
  6. Step 6: Final answer
    x = 5,256.99

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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.