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Finding the Fourth Proportional to 6,277.01, 9,398.22 and 4,194.15

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Solution

The fourth proportional to 6,277.01, 9,398.22 and 4,194.15 is: 6,279.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.01 : 9,398.22 = 4,194.15 : x
  2. Step 2: Convert to fraction form
    6,277.01/9,398.22 = 4,194.15/x
  3. Step 3: Cross multiply
    6,277.01x = 9,398.22 × 4,194.15
  4. Step 4: Simplify right side
    6,277.01x = 39,417,544.41
  5. Step 5: Solve for x
    x = 39,417,544.41/6,277.01
  6. Step 6: Final answer
    x = 6,279.67

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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.