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Finding the Fourth Proportional to 9,336.88, 14,004.78 and 4,141

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Solution

The fourth proportional to 9,336.88, 14,004.78 and 4,141 is: 6,211.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,336.88 : 14,004.78 = 4,141 : x
  2. Step 2: Convert to fraction form
    9,336.88/14,004.78 = 4,141/x
  3. Step 3: Cross multiply
    9,336.88x = 14,004.78 × 4,141
  4. Step 4: Simplify right side
    9,336.88x = 57,993,793.98
  5. Step 5: Solve for x
    x = 57,993,793.98/9,336.88
  6. Step 6: Final answer
    x = 6,211.26

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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.