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Finding the Fourth Proportional to 9,074.44, 13,607.58 and 4,142.92

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Solution

The fourth proportional to 9,074.44, 13,607.58 and 4,142.92 is: 6,212.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.44 : 13,607.58 = 4,142.92 : x
  2. Step 2: Convert to fraction form
    9,074.44/13,607.58 = 4,142.92/x
  3. Step 3: Cross multiply
    9,074.44x = 13,607.58 × 4,142.92
  4. Step 4: Simplify right side
    9,074.44x = 56,375,115.33
  5. Step 5: Solve for x
    x = 56,375,115.33/9,074.44
  6. Step 6: Final answer
    x = 6,212.52

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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.