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Finding the Fourth Proportional to 9,155.72, 12,634.70 and 5,176.74

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Solution

The fourth proportional to 9,155.72, 12,634.70 and 5,176.74 is: 7,143.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.72 : 12,634.70 = 5,176.74 : x
  2. Step 2: Convert to fraction form
    9,155.72/12,634.70 = 5,176.74/x
  3. Step 3: Cross multiply
    9,155.72x = 12,634.70 × 5,176.74
  4. Step 4: Simplify right side
    9,155.72x = 65,406,556.88
  5. Step 5: Solve for x
    x = 65,406,556.88/9,155.72
  6. Step 6: Final answer
    x = 7,143.79

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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.