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Finding the Fourth Proportional to 6,195.39, 9,284.36 and 4,802.20

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Solution

The fourth proportional to 6,195.39, 9,284.36 and 4,802.20 is: 7,196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195.39 : 9,284.36 = 4,802.20 : x
  2. Step 2: Convert to fraction form
    6,195.39/9,284.36 = 4,802.20/x
  3. Step 3: Cross multiply
    6,195.39x = 9,284.36 × 4,802.20
  4. Step 4: Simplify right side
    6,195.39x = 44,585,358.59
  5. Step 5: Solve for x
    x = 44,585,358.59/6,195.39
  6. Step 6: Final answer
    x = 7,196.54

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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.