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Finding the Fourth Proportional to 6,194.34, 9,294.69 and 4,115.77

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Solution

The fourth proportional to 6,194.34, 9,294.69 and 4,115.77 is: 6,175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.34 : 9,294.69 = 4,115.77 : x
  2. Step 2: Convert to fraction form
    6,194.34/9,294.69 = 4,115.77/x
  3. Step 3: Cross multiply
    6,194.34x = 9,294.69 × 4,115.77
  4. Step 4: Simplify right side
    6,194.34x = 38,254,806.26
  5. Step 5: Solve for x
    x = 38,254,806.26/6,194.34
  6. Step 6: Final answer
    x = 6,175.77

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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.