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Finding the Fourth Proportional to 9,154.65, 12,634.20 and 5,176.47

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Solution

The fourth proportional to 9,154.65, 12,634.20 and 5,176.47 is: 7,143.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.65 : 12,634.20 = 5,176.47 : x
  2. Step 2: Convert to fraction form
    9,154.65/12,634.20 = 5,176.47/x
  3. Step 3: Cross multiply
    9,154.65x = 12,634.20 × 5,176.47
  4. Step 4: Simplify right side
    9,154.65x = 65,400,557.27
  5. Step 5: Solve for x
    x = 65,400,557.27/9,154.65
  6. Step 6: Final answer
    x = 7,143.97

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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.