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Finding the Fourth Proportional to 6,849, 9,447.84 and 4,606.92

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Solution

The fourth proportional to 6,849, 9,447.84 and 4,606.92 is: 6,355.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849 : 9,447.84 = 4,606.92 : x
  2. Step 2: Convert to fraction form
    6,849/9,447.84 = 4,606.92/x
  3. Step 3: Cross multiply
    6,849x = 9,447.84 × 4,606.92
  4. Step 4: Simplify right side
    6,849x = 43,525,443.05
  5. Step 5: Solve for x
    x = 43,525,443.05/6,849
  6. Step 6: Final answer
    x = 6,355.01

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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.