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Finding the Fourth Proportional to 9,488.96, 14,231.30 and 2,824.10

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Solution

The fourth proportional to 9,488.96, 14,231.30 and 2,824.10 is: 4,235.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.96 : 14,231.30 = 2,824.10 : x
  2. Step 2: Convert to fraction form
    9,488.96/14,231.30 = 2,824.10/x
  3. Step 3: Cross multiply
    9,488.96x = 14,231.30 × 2,824.10
  4. Step 4: Simplify right side
    9,488.96x = 40,190,614.33
  5. Step 5: Solve for x
    x = 40,190,614.33/9,488.96
  6. Step 6: Final answer
    x = 4,235.51

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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.