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Finding the Fourth Proportional to 9,093.12, 13,638 and 2,518.44

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Solution

The fourth proportional to 9,093.12, 13,638 and 2,518.44 is: 3,777.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093.12 : 13,638 = 2,518.44 : x
  2. Step 2: Convert to fraction form
    9,093.12/13,638 = 2,518.44/x
  3. Step 3: Cross multiply
    9,093.12x = 13,638 × 2,518.44
  4. Step 4: Simplify right side
    9,093.12x = 34,346,484.72
  5. Step 5: Solve for x
    x = 34,346,484.72/9,093.12
  6. Step 6: Final answer
    x = 3,777.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.