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Finding the Fourth Proportional to 6,193.34, 9,293.19 and 4,114.77

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Solution

The fourth proportional to 6,193.34, 9,293.19 and 4,114.77 is: 6,174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.34 : 9,293.19 = 4,114.77 : x
  2. Step 2: Convert to fraction form
    6,193.34/9,293.19 = 4,114.77/x
  3. Step 3: Cross multiply
    6,193.34x = 9,293.19 × 4,114.77
  4. Step 4: Simplify right side
    6,193.34x = 38,239,339.42
  5. Step 5: Solve for x
    x = 38,239,339.42/6,193.34
  6. Step 6: Final answer
    x = 6,174.27

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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.