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Finding the Fourth Proportional to 6,846.03, 9,448.77 and 4,157.84

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Solution

The fourth proportional to 6,846.03, 9,448.77 and 4,157.84 is: 5,738.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.03 : 9,448.77 = 4,157.84 : x
  2. Step 2: Convert to fraction form
    6,846.03/9,448.77 = 4,157.84/x
  3. Step 3: Cross multiply
    6,846.03x = 9,448.77 × 4,157.84
  4. Step 4: Simplify right side
    6,846.03x = 39,286,426.61
  5. Step 5: Solve for x
    x = 39,286,426.61/6,846.03
  6. Step 6: Final answer
    x = 5,738.57

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Why These Related Problems?

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