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Finding the Fourth Proportional to 9,488.66, 14,234.66 and 3,247.20

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Solution

The fourth proportional to 9,488.66, 14,234.66 and 3,247.20 is: 4,871.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.66 : 14,234.66 = 3,247.20 : x
  2. Step 2: Convert to fraction form
    9,488.66/14,234.66 = 3,247.20/x
  3. Step 3: Cross multiply
    9,488.66x = 14,234.66 × 3,247.20
  4. Step 4: Simplify right side
    9,488.66x = 46,222,771.72
  5. Step 5: Solve for x
    x = 46,222,771.72/9,488.66
  6. Step 6: Final answer
    x = 4,871.37

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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.