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Finding the Fourth Proportional to 9,429.34, 14,133.66 and 3,879.82

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Solution

The fourth proportional to 9,429.34, 14,133.66 and 3,879.82 is: 5,815.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,429.34 : 14,133.66 = 3,879.82 : x
  2. Step 2: Convert to fraction form
    9,429.34/14,133.66 = 3,879.82/x
  3. Step 3: Cross multiply
    9,429.34x = 14,133.66 × 3,879.82
  4. Step 4: Simplify right side
    9,429.34x = 54,836,056.74
  5. Step 5: Solve for x
    x = 54,836,056.74/9,429.34
  6. Step 6: Final answer
    x = 5,815.47

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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.