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Finding the Fourth Proportional to 7,105.85, 9,796.93 and 4,863.86

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Solution

The fourth proportional to 7,105.85, 9,796.93 and 4,863.86 is: 6,705.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.85 : 9,796.93 = 4,863.86 : x
  2. Step 2: Convert to fraction form
    7,105.85/9,796.93 = 4,863.86/x
  3. Step 3: Cross multiply
    7,105.85x = 9,796.93 × 4,863.86
  4. Step 4: Simplify right side
    7,105.85x = 47,650,834.81
  5. Step 5: Solve for x
    x = 47,650,834.81/7,105.85
  6. Step 6: Final answer
    x = 6,705.86

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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.