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Finding the Fourth Proportional to 7,108.35, 9,809.74 and 3,964.53

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Solution

The fourth proportional to 7,108.35, 9,809.74 and 3,964.53 is: 5,471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,108.35 : 9,809.74 = 3,964.53 : x
  2. Step 2: Convert to fraction form
    7,108.35/9,809.74 = 3,964.53/x
  3. Step 3: Cross multiply
    7,108.35x = 9,809.74 × 3,964.53
  4. Step 4: Simplify right side
    7,108.35x = 38,891,008.52
  5. Step 5: Solve for x
    x = 38,891,008.52/7,108.35
  6. Step 6: Final answer
    x = 5,471.17

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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.