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Finding the Fourth Proportional to 6,466.06, 9,702.77 and 2,516.81

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Solution

The fourth proportional to 6,466.06, 9,702.77 and 2,516.81 is: 3,776.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.06 : 9,702.77 = 2,516.81 : x
  2. Step 2: Convert to fraction form
    6,466.06/9,702.77 = 2,516.81/x
  3. Step 3: Cross multiply
    6,466.06x = 9,702.77 × 2,516.81
  4. Step 4: Simplify right side
    6,466.06x = 24,419,981.62
  5. Step 5: Solve for x
    x = 24,419,981.62/6,466.06
  6. Step 6: Final answer
    x = 3,776.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.