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Finding the Fourth Proportional to 6,306.39, 9,450.68 and 4,649.94

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Solution

The fourth proportional to 6,306.39, 9,450.68 and 4,649.94 is: 6,968.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.39 : 9,450.68 = 4,649.94 : x
  2. Step 2: Convert to fraction form
    6,306.39/9,450.68 = 4,649.94/x
  3. Step 3: Cross multiply
    6,306.39x = 9,450.68 × 4,649.94
  4. Step 4: Simplify right side
    6,306.39x = 43,945,071.71
  5. Step 5: Solve for x
    x = 43,945,071.71/6,306.39
  6. Step 6: Final answer
    x = 6,968.34

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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.