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Finding the Fourth Proportional to 6,516.41, 9,774.62 and 4,577.27

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Solution

The fourth proportional to 6,516.41, 9,774.62 and 4,577.27 is: 6,865.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.41 : 9,774.62 = 4,577.27 : x
  2. Step 2: Convert to fraction form
    6,516.41/9,774.62 = 4,577.27/x
  3. Step 3: Cross multiply
    6,516.41x = 9,774.62 × 4,577.27
  4. Step 4: Simplify right side
    6,516.41x = 44,741,003.13
  5. Step 5: Solve for x
    x = 44,741,003.13/6,516.41
  6. Step 6: Final answer
    x = 6,865.90

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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.