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Finding the Fourth Proportional to 9,106.58, 13,645.19 and 7,167.44

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Solution

The fourth proportional to 9,106.58, 13,645.19 and 7,167.44 is: 10,739.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.58 : 13,645.19 = 7,167.44 : x
  2. Step 2: Convert to fraction form
    9,106.58/13,645.19 = 7,167.44/x
  3. Step 3: Cross multiply
    9,106.58x = 13,645.19 × 7,167.44
  4. Step 4: Simplify right side
    9,106.58x = 97,801,132.65
  5. Step 5: Solve for x
    x = 97,801,132.65/9,106.58
  6. Step 6: Final answer
    x = 10,739.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.