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Finding the Fourth Proportional to 6,990.63, 9,647.20 and 3,846.81

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Solution

The fourth proportional to 6,990.63, 9,647.20 and 3,846.81 is: 5,308.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990.63 : 9,647.20 = 3,846.81 : x
  2. Step 2: Convert to fraction form
    6,990.63/9,647.20 = 3,846.81/x
  3. Step 3: Cross multiply
    6,990.63x = 9,647.20 × 3,846.81
  4. Step 4: Simplify right side
    6,990.63x = 37,110,945.43
  5. Step 5: Solve for x
    x = 37,110,945.43/6,990.63
  6. Step 6: Final answer
    x = 5,308.67

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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.