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Finding the Fourth Proportional to 9,829.82, 13,569.63 and 6,472.78

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Solution

The fourth proportional to 9,829.82, 13,569.63 and 6,472.78 is: 8,935.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.82 : 13,569.63 = 6,472.78 : x
  2. Step 2: Convert to fraction form
    9,829.82/13,569.63 = 6,472.78/x
  3. Step 3: Cross multiply
    9,829.82x = 13,569.63 × 6,472.78
  4. Step 4: Simplify right side
    9,829.82x = 87,833,171.47
  5. Step 5: Solve for x
    x = 87,833,171.47/9,829.82
  6. Step 6: Final answer
    x = 8,935.38

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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.