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Finding the Fourth Proportional to 9,155.14, 12,633.78 and 5,176.42

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Solution

The fourth proportional to 9,155.14, 12,633.78 and 5,176.42 is: 7,143.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.14 : 12,633.78 = 5,176.42 : x
  2. Step 2: Convert to fraction form
    9,155.14/12,633.78 = 5,176.42/x
  3. Step 3: Cross multiply
    9,155.14x = 12,633.78 × 5,176.42
  4. Step 4: Simplify right side
    9,155.14x = 65,397,751.47
  5. Step 5: Solve for x
    x = 65,397,751.47/9,155.14
  6. Step 6: Final answer
    x = 7,143.28

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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.