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Finding the Fourth Proportional to 6,193.04, 9,281.32 and 5,367.44

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Solution

The fourth proportional to 6,193.04, 9,281.32 and 5,367.44 is: 8,044.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.04 : 9,281.32 = 5,367.44 : x
  2. Step 2: Convert to fraction form
    6,193.04/9,281.32 = 5,367.44/x
  3. Step 3: Cross multiply
    6,193.04x = 9,281.32 × 5,367.44
  4. Step 4: Simplify right side
    6,193.04x = 49,816,928.22
  5. Step 5: Solve for x
    x = 49,816,928.22/6,193.04
  6. Step 6: Final answer
    x = 8,044.02

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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.