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Finding the Fourth Proportional to 6,193.85, 9,269.15 and 5,070.27

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Solution

The fourth proportional to 6,193.85, 9,269.15 and 5,070.27 is: 7,587.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.85 : 9,269.15 = 5,070.27 : x
  2. Step 2: Convert to fraction form
    6,193.85/9,269.15 = 5,070.27/x
  3. Step 3: Cross multiply
    6,193.85x = 9,269.15 × 5,070.27
  4. Step 4: Simplify right side
    6,193.85x = 46,997,102.58
  5. Step 5: Solve for x
    x = 46,997,102.58/6,193.85
  6. Step 6: Final answer
    x = 7,587.71

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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.