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Finding the Fourth Proportional to 9,490.34, 14,234.24 and 2,826.71

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Solution

The fourth proportional to 9,490.34, 14,234.24 and 2,826.71 is: 4,239.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.34 : 14,234.24 = 2,826.71 : x
  2. Step 2: Convert to fraction form
    9,490.34/14,234.24 = 2,826.71/x
  3. Step 3: Cross multiply
    9,490.34x = 14,234.24 × 2,826.71
  4. Step 4: Simplify right side
    9,490.34x = 40,235,983.25
  5. Step 5: Solve for x
    x = 40,235,983.25/9,490.34
  6. Step 6: Final answer
    x = 4,239.68

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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.