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Finding the Fourth Proportional to 6,194.52, 9,270.20 and 5,070.96

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Solution

The fourth proportional to 6,194.52, 9,270.20 and 5,070.96 is: 7,588.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.52 : 9,270.20 = 5,070.96 : x
  2. Step 2: Convert to fraction form
    6,194.52/9,270.20 = 5,070.96/x
  3. Step 3: Cross multiply
    6,194.52x = 9,270.20 × 5,070.96
  4. Step 4: Simplify right side
    6,194.52x = 47,008,826.07
  5. Step 5: Solve for x
    x = 47,008,826.07/6,194.52
  6. Step 6: Final answer
    x = 7,588.78

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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.