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Finding the Fourth Proportional to 6,789.00, 9,384.51 and 5,663.38

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Solution

The fourth proportional to 6,789.00, 9,384.51 and 5,663.38 is: 7,828.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789.00 : 9,384.51 = 5,663.38 : x
  2. Step 2: Convert to fraction form
    6,789.00/9,384.51 = 5,663.38/x
  3. Step 3: Cross multiply
    6,789.00x = 9,384.51 × 5,663.38
  4. Step 4: Simplify right side
    6,789.00x = 53,148,042.96
  5. Step 5: Solve for x
    x = 53,148,042.96/6,789.00
  6. Step 6: Final answer
    x = 7,828.55

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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.