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Finding the Fourth Proportional to 9,049.22, 13,511.94 and 8,106.08

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Solution

The fourth proportional to 9,049.22, 13,511.94 and 8,106.08 is: 12,103.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049.22 : 13,511.94 = 8,106.08 : x
  2. Step 2: Convert to fraction form
    9,049.22/13,511.94 = 8,106.08/x
  3. Step 3: Cross multiply
    9,049.22x = 13,511.94 × 8,106.08
  4. Step 4: Simplify right side
    9,049.22x = 109,528,866.60
  5. Step 5: Solve for x
    x = 109,528,866.60/9,049.22
  6. Step 6: Final answer
    x = 12,103.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.