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Finding the Fourth Proportional to 9,827.09, 13,556.86 and 6,293.87

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Solution

The fourth proportional to 9,827.09, 13,556.86 and 6,293.87 is: 8,682.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.09 : 13,556.86 = 6,293.87 : x
  2. Step 2: Convert to fraction form
    9,827.09/13,556.86 = 6,293.87/x
  3. Step 3: Cross multiply
    9,827.09x = 13,556.86 × 6,293.87
  4. Step 4: Simplify right side
    9,827.09x = 85,325,114.45
  5. Step 5: Solve for x
    x = 85,325,114.45/9,827.09
  6. Step 6: Final answer
    x = 8,682.64

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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.