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Finding the Fourth Proportional to 9,156.62, 12,634.04 and 5,176.87

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Solution

The fourth proportional to 9,156.62, 12,634.04 and 5,176.87 is: 7,142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.62 : 12,634.04 = 5,176.87 : x
  2. Step 2: Convert to fraction form
    9,156.62/12,634.04 = 5,176.87/x
  3. Step 3: Cross multiply
    9,156.62x = 12,634.04 × 5,176.87
  4. Step 4: Simplify right side
    9,156.62x = 65,404,693.60
  5. Step 5: Solve for x
    x = 65,404,693.60/9,156.62
  6. Step 6: Final answer
    x = 7,142.89

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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.