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Finding the Fourth Proportional to 6,265.86, 8,647.92 and 4,770.96

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Solution

The fourth proportional to 6,265.86, 8,647.92 and 4,770.96 is: 6,584.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.86 : 8,647.92 = 4,770.96 : x
  2. Step 2: Convert to fraction form
    6,265.86/8,647.92 = 4,770.96/x
  3. Step 3: Cross multiply
    6,265.86x = 8,647.92 × 4,770.96
  4. Step 4: Simplify right side
    6,265.86x = 41,258,880.40
  5. Step 5: Solve for x
    x = 41,258,880.40/6,265.86
  6. Step 6: Final answer
    x = 6,584.71

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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.