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Finding the Fourth Proportional to 6,847.22, 9,449.13 and 3,703.40

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Solution

The fourth proportional to 6,847.22, 9,449.13 and 3,703.40 is: 5,110.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.22 : 9,449.13 = 3,703.40 : x
  2. Step 2: Convert to fraction form
    6,847.22/9,449.13 = 3,703.40/x
  3. Step 3: Cross multiply
    6,847.22x = 9,449.13 × 3,703.40
  4. Step 4: Simplify right side
    6,847.22x = 34,993,908.04
  5. Step 5: Solve for x
    x = 34,993,908.04/6,847.22
  6. Step 6: Final answer
    x = 5,110.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.