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Finding the Fourth Proportional to 9,367.44, 14,046.84 and 4,434

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Solution

The fourth proportional to 9,367.44, 14,046.84 and 4,434 is: 6,648.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,367.44 : 14,046.84 = 4,434 : x
  2. Step 2: Convert to fraction form
    9,367.44/14,046.84 = 4,434/x
  3. Step 3: Cross multiply
    9,367.44x = 14,046.84 × 4,434
  4. Step 4: Simplify right side
    9,367.44x = 62,283,688.56
  5. Step 5: Solve for x
    x = 62,283,688.56/9,367.44
  6. Step 6: Final answer
    x = 6,648.96

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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.