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Finding the Fourth Proportional to 6,195.34, 9,296.19 and 4,116.77

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Solution

The fourth proportional to 6,195.34, 9,296.19 and 4,116.77 is: 6,177.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195.34 : 9,296.19 = 4,116.77 : x
  2. Step 2: Convert to fraction form
    6,195.34/9,296.19 = 4,116.77/x
  3. Step 3: Cross multiply
    6,195.34x = 9,296.19 × 4,116.77
  4. Step 4: Simplify right side
    6,195.34x = 38,270,276.11
  5. Step 5: Solve for x
    x = 38,270,276.11/6,195.34
  6. Step 6: Final answer
    x = 6,177.27

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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.