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Finding the Fourth Proportional to 9,178.86, 13,771.41 and 3,335.94

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Solution

The fourth proportional to 9,178.86, 13,771.41 and 3,335.94 is: 5,005.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.86 : 13,771.41 = 3,335.94 : x
  2. Step 2: Convert to fraction form
    9,178.86/13,771.41 = 3,335.94/x
  3. Step 3: Cross multiply
    9,178.86x = 13,771.41 × 3,335.94
  4. Step 4: Simplify right side
    9,178.86x = 45,940,597.48
  5. Step 5: Solve for x
    x = 45,940,597.48/9,178.86
  6. Step 6: Final answer
    x = 5,005.04

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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.