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Finding the Fourth Proportional to 7,204.37, 9,943.91 and 4,693.37

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Solution

The fourth proportional to 7,204.37, 9,943.91 and 4,693.37 is: 6,478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.37 : 9,943.91 = 4,693.37 : x
  2. Step 2: Convert to fraction form
    7,204.37/9,943.91 = 4,693.37/x
  3. Step 3: Cross multiply
    7,204.37x = 9,943.91 × 4,693.37
  4. Step 4: Simplify right side
    7,204.37x = 46,670,375.69
  5. Step 5: Solve for x
    x = 46,670,375.69/7,204.37
  6. Step 6: Final answer
    x = 6,478.07

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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.