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Finding the Fourth Proportional to 6,193.34, 9,292.64 and 4,114.07

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Solution

The fourth proportional to 6,193.34, 9,292.64 and 4,114.07 is: 6,172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.34 : 9,292.64 = 4,114.07 : x
  2. Step 2: Convert to fraction form
    6,193.34/9,292.64 = 4,114.07/x
  3. Step 3: Cross multiply
    6,193.34x = 9,292.64 × 4,114.07
  4. Step 4: Simplify right side
    6,193.34x = 38,230,504.41
  5. Step 5: Solve for x
    x = 38,230,504.41/6,193.34
  6. Step 6: Final answer
    x = 6,172.85

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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.