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Finding the Fourth Proportional to 9,490.44, 14,234.86 and 2,916

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Solution

The fourth proportional to 9,490.44, 14,234.86 and 2,916 is: 4,373.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.44 : 14,234.86 = 2,916 : x
  2. Step 2: Convert to fraction form
    9,490.44/14,234.86 = 2,916/x
  3. Step 3: Cross multiply
    9,490.44x = 14,234.86 × 2,916
  4. Step 4: Simplify right side
    9,490.44x = 41,508,863.61
  5. Step 5: Solve for x
    x = 41,508,863.61/9,490.44
  6. Step 6: Final answer
    x = 4,373.76

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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.