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Finding the Fourth Proportional to 6,783.52, 9,362.76 and 3,989.92

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Solution

The fourth proportional to 6,783.52, 9,362.76 and 3,989.92 is: 5,506.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.52 : 9,362.76 = 3,989.92 : x
  2. Step 2: Convert to fraction form
    6,783.52/9,362.76 = 3,989.92/x
  3. Step 3: Cross multiply
    6,783.52x = 9,362.76 × 3,989.92
  4. Step 4: Simplify right side
    6,783.52x = 37,356,663.38
  5. Step 5: Solve for x
    x = 37,356,663.38/6,783.52
  6. Step 6: Final answer
    x = 5,506.97

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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.