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Finding the Fourth Proportional to 9,170.96, 12,658.14 and 5,194.40

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Solution

The fourth proportional to 9,170.96, 12,658.14 and 5,194.40 is: 7,169.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.96 : 12,658.14 = 5,194.40 : x
  2. Step 2: Convert to fraction form
    9,170.96/12,658.14 = 5,194.40/x
  3. Step 3: Cross multiply
    9,170.96x = 12,658.14 × 5,194.40
  4. Step 4: Simplify right side
    9,170.96x = 65,751,379.13
  5. Step 5: Solve for x
    x = 65,751,379.13/9,170.96
  6. Step 6: Final answer
    x = 7,169.52

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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.