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Finding the Fourth Proportional to 9,416.44, 12,994.77 and 5,438.23

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Solution

The fourth proportional to 9,416.44, 12,994.77 and 5,438.23 is: 7,504.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.44 : 12,994.77 = 5,438.23 : x
  2. Step 2: Convert to fraction form
    9,416.44/12,994.77 = 5,438.23/x
  3. Step 3: Cross multiply
    9,416.44x = 12,994.77 × 5,438.23
  4. Step 4: Simplify right side
    9,416.44x = 70,668,548.06
  5. Step 5: Solve for x
    x = 70,668,548.06/9,416.44
  6. Step 6: Final answer
    x = 7,504.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.