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Finding the Fourth Proportional to 6,301.46, 9,444.60 and 3,663.90

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Solution

The fourth proportional to 6,301.46, 9,444.60 and 3,663.90 is: 5,491.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.46 : 9,444.60 = 3,663.90 : x
  2. Step 2: Convert to fraction form
    6,301.46/9,444.60 = 3,663.90/x
  3. Step 3: Cross multiply
    6,301.46x = 9,444.60 × 3,663.90
  4. Step 4: Simplify right side
    6,301.46x = 34,604,069.94
  5. Step 5: Solve for x
    x = 34,604,069.94/6,301.46
  6. Step 6: Final answer
    x = 5,491.43

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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.