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Finding the Fourth Proportional to 6,126.74, 9,193.60 and 5,099.19

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Solution

The fourth proportional to 6,126.74, 9,193.60 and 5,099.19 is: 7,651.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,126.74 : 9,193.60 = 5,099.19 : x
  2. Step 2: Convert to fraction form
    6,126.74/9,193.60 = 5,099.19/x
  3. Step 3: Cross multiply
    6,126.74x = 9,193.60 × 5,099.19
  4. Step 4: Simplify right side
    6,126.74x = 46,879,885.08
  5. Step 5: Solve for x
    x = 46,879,885.08/6,126.74
  6. Step 6: Final answer
    x = 7,651.69

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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.