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Finding the Fourth Proportional to 9,094.44, 13,636.17 and 3,546.72

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Solution

The fourth proportional to 9,094.44, 13,636.17 and 3,546.72 is: 5,317.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094.44 : 13,636.17 = 3,546.72 : x
  2. Step 2: Convert to fraction form
    9,094.44/13,636.17 = 3,546.72/x
  3. Step 3: Cross multiply
    9,094.44x = 13,636.17 × 3,546.72
  4. Step 4: Simplify right side
    9,094.44x = 48,363,676.86
  5. Step 5: Solve for x
    x = 48,363,676.86/9,094.44
  6. Step 6: Final answer
    x = 5,317.94

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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.