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Finding the Fourth Proportional to 9,488.07, 14,234.22 and 2,914.92

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Solution

The fourth proportional to 9,488.07, 14,234.22 and 2,914.92 is: 4,373.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.07 : 14,234.22 = 2,914.92 : x
  2. Step 2: Convert to fraction form
    9,488.07/14,234.22 = 2,914.92/x
  3. Step 3: Cross multiply
    9,488.07x = 14,234.22 × 2,914.92
  4. Step 4: Simplify right side
    9,488.07x = 41,491,612.56
  5. Step 5: Solve for x
    x = 41,491,612.56/9,488.07
  6. Step 6: Final answer
    x = 4,373.03

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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.