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Finding the Fourth Proportional to 6,440.40, 9,663.30 and 4,811.09

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Solution

The fourth proportional to 6,440.40, 9,663.30 and 4,811.09 is: 7,218.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.40 : 9,663.30 = 4,811.09 : x
  2. Step 2: Convert to fraction form
    6,440.40/9,663.30 = 4,811.09/x
  3. Step 3: Cross multiply
    6,440.40x = 9,663.30 × 4,811.09
  4. Step 4: Simplify right side
    6,440.40x = 46,491,006.00
  5. Step 5: Solve for x
    x = 46,491,006.00/6,440.40
  6. Step 6: Final answer
    x = 7,218.65

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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.