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Finding the Fourth Proportional to 6,294.40, 8,686.70 and 4,166.27

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Solution

The fourth proportional to 6,294.40, 8,686.70 and 4,166.27 is: 5,749.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.40 : 8,686.70 = 4,166.27 : x
  2. Step 2: Convert to fraction form
    6,294.40/8,686.70 = 4,166.27/x
  3. Step 3: Cross multiply
    6,294.40x = 8,686.70 × 4,166.27
  4. Step 4: Simplify right side
    6,294.40x = 36,191,115.89
  5. Step 5: Solve for x
    x = 36,191,115.89/6,294.40
  6. Step 6: Final answer
    x = 5,749.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.