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Finding the Fourth Proportional to 6,779.62, 9,349.30 and 5,286.99

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Solution

The fourth proportional to 6,779.62, 9,349.30 and 5,286.99 is: 7,290.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,779.62 : 9,349.30 = 5,286.99 : x
  2. Step 2: Convert to fraction form
    6,779.62/9,349.30 = 5,286.99/x
  3. Step 3: Cross multiply
    6,779.62x = 9,349.30 × 5,286.99
  4. Step 4: Simplify right side
    6,779.62x = 49,429,649.00
  5. Step 5: Solve for x
    x = 49,429,649.00/6,779.62
  6. Step 6: Final answer
    x = 7,290.92

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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.