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Finding the Fourth Proportional to 7,133.23, 9,847.31 and 4,747.17

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Solution

The fourth proportional to 7,133.23, 9,847.31 and 4,747.17 is: 6,553.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.23 : 9,847.31 = 4,747.17 : x
  2. Step 2: Convert to fraction form
    7,133.23/9,847.31 = 4,747.17/x
  3. Step 3: Cross multiply
    7,133.23x = 9,847.31 × 4,747.17
  4. Step 4: Simplify right side
    7,133.23x = 46,746,867.80
  5. Step 5: Solve for x
    x = 46,746,867.80/7,133.23
  6. Step 6: Final answer
    x = 6,553.39

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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.