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Finding the Fourth Proportional to 6,519.62, 9,779.44 and 1,902.62

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Solution

The fourth proportional to 6,519.62, 9,779.44 and 1,902.62 is: 2,853.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.62 : 9,779.44 = 1,902.62 : x
  2. Step 2: Convert to fraction form
    6,519.62/9,779.44 = 1,902.62/x
  3. Step 3: Cross multiply
    6,519.62x = 9,779.44 × 1,902.62
  4. Step 4: Simplify right side
    6,519.62x = 18,606,558.13
  5. Step 5: Solve for x
    x = 18,606,558.13/6,519.62
  6. Step 6: Final answer
    x = 2,853.93

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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.