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Finding the Fourth Proportional to 6,516.14, 9,779.68 and 2,821.20

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Solution

The fourth proportional to 6,516.14, 9,779.68 and 2,821.20 is: 4,234.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.14 : 9,779.68 = 2,821.20 : x
  2. Step 2: Convert to fraction form
    6,516.14/9,779.68 = 2,821.20/x
  3. Step 3: Cross multiply
    6,516.14x = 9,779.68 × 2,821.20
  4. Step 4: Simplify right side
    6,516.14x = 27,590,433.22
  5. Step 5: Solve for x
    x = 27,590,433.22/6,516.14
  6. Step 6: Final answer
    x = 4,234.17

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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.