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Finding the Fourth Proportional to 6,846.08, 9,445.97 and 4,156.67

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Solution

The fourth proportional to 6,846.08, 9,445.97 and 4,156.67 is: 5,735.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.08 : 9,445.97 = 4,156.67 : x
  2. Step 2: Convert to fraction form
    6,846.08/9,445.97 = 4,156.67/x
  3. Step 3: Cross multiply
    6,846.08x = 9,445.97 × 4,156.67
  4. Step 4: Simplify right side
    6,846.08x = 39,263,814.13
  5. Step 5: Solve for x
    x = 39,263,814.13/6,846.08
  6. Step 6: Final answer
    x = 5,735.23

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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.