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Finding the Fourth Proportional to 9,451.76, 14,172 and 2,876

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Solution

The fourth proportional to 9,451.76, 14,172 and 2,876 is: 4,312.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451.76 : 14,172 = 2,876 : x
  2. Step 2: Convert to fraction form
    9,451.76/14,172 = 2,876/x
  3. Step 3: Cross multiply
    9,451.76x = 14,172 × 2,876
  4. Step 4: Simplify right side
    9,451.76x = 40,758,672
  5. Step 5: Solve for x
    x = 40,758,672/9,451.76
  6. Step 6: Final answer
    x = 4,312.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.