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Finding the Fourth Proportional to 6,099.36, 9,149.58 and 1,716.86

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Solution

The fourth proportional to 6,099.36, 9,149.58 and 1,716.86 is: 2,575.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.36 : 9,149.58 = 1,716.86 : x
  2. Step 2: Convert to fraction form
    6,099.36/9,149.58 = 1,716.86/x
  3. Step 3: Cross multiply
    6,099.36x = 9,149.58 × 1,716.86
  4. Step 4: Simplify right side
    6,099.36x = 15,708,547.92
  5. Step 5: Solve for x
    x = 15,708,547.92/6,099.36
  6. Step 6: Final answer
    x = 2,575.44

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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.