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Finding the Fourth Proportional to 9,914.78, 13,682.30 and 5,438.32

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Solution

The fourth proportional to 9,914.78, 13,682.30 and 5,438.32 is: 7,504.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.78 : 13,682.30 = 5,438.32 : x
  2. Step 2: Convert to fraction form
    9,914.78/13,682.30 = 5,438.32/x
  3. Step 3: Cross multiply
    9,914.78x = 13,682.30 × 5,438.32
  4. Step 4: Simplify right side
    9,914.78x = 74,408,725.74
  5. Step 5: Solve for x
    x = 74,408,725.74/9,914.78
  6. Step 6: Final answer
    x = 7,504.83

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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.