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Finding the Fourth Proportional to 9,982.63, 13,778.38 and 6,208.69

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Solution

The fourth proportional to 9,982.63, 13,778.38 and 6,208.69 is: 8,569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.63 : 13,778.38 = 6,208.69 : x
  2. Step 2: Convert to fraction form
    9,982.63/13,778.38 = 6,208.69/x
  3. Step 3: Cross multiply
    9,982.63x = 13,778.38 × 6,208.69
  4. Step 4: Simplify right side
    9,982.63x = 85,545,691.72
  5. Step 5: Solve for x
    x = 85,545,691.72/9,982.63
  6. Step 6: Final answer
    x = 8,569.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.