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Finding the Fourth Proportional to 9,281.82, 13,924.53 and 3,438.48

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Solution

The fourth proportional to 9,281.82, 13,924.53 and 3,438.48 is: 5,158.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.82 : 13,924.53 = 3,438.48 : x
  2. Step 2: Convert to fraction form
    9,281.82/13,924.53 = 3,438.48/x
  3. Step 3: Cross multiply
    9,281.82x = 13,924.53 × 3,438.48
  4. Step 4: Simplify right side
    9,281.82x = 47,879,217.91
  5. Step 5: Solve for x
    x = 47,879,217.91/9,281.82
  6. Step 6: Final answer
    x = 5,158.39

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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.