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Finding the Fourth Proportional to 6,083.34, 9,118.38 and 4,004.76

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Solution

The fourth proportional to 6,083.34, 9,118.38 and 4,004.76 is: 6,002.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083.34 : 9,118.38 = 4,004.76 : x
  2. Step 2: Convert to fraction form
    6,083.34/9,118.38 = 4,004.76/x
  3. Step 3: Cross multiply
    6,083.34x = 9,118.38 × 4,004.76
  4. Step 4: Simplify right side
    6,083.34x = 36,516,923.49
  5. Step 5: Solve for x
    x = 36,516,923.49/6,083.34
  6. Step 6: Final answer
    x = 6,002.78

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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.