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Finding the Fourth Proportional to 9,790.86, 13,513.59 and 8,216.22

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Solution

The fourth proportional to 9,790.86, 13,513.59 and 8,216.22 is: 11,340.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.86 : 13,513.59 = 8,216.22 : x
  2. Step 2: Convert to fraction form
    9,790.86/13,513.59 = 8,216.22/x
  3. Step 3: Cross multiply
    9,790.86x = 13,513.59 × 8,216.22
  4. Step 4: Simplify right side
    9,790.86x = 111,030,628.43
  5. Step 5: Solve for x
    x = 111,030,628.43/9,790.86
  6. Step 6: Final answer
    x = 11,340.23

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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.