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Finding the Fourth Proportional to 9,467.39, 14,185.38 and 5,758.40

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Solution

The fourth proportional to 9,467.39, 14,185.38 and 5,758.40 is: 8,628.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.39 : 14,185.38 = 5,758.40 : x
  2. Step 2: Convert to fraction form
    9,467.39/14,185.38 = 5,758.40/x
  3. Step 3: Cross multiply
    9,467.39x = 14,185.38 × 5,758.40
  4. Step 4: Simplify right side
    9,467.39x = 81,685,042.86
  5. Step 5: Solve for x
    x = 81,685,042.86/9,467.39
  6. Step 6: Final answer
    x = 8,628.05

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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.