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Finding the Fourth Proportional to 9,364.08, 14,034.42 and 4,685.43

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Solution

The fourth proportional to 9,364.08, 14,034.42 and 4,685.43 is: 7,022.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364.08 : 14,034.42 = 4,685.43 : x
  2. Step 2: Convert to fraction form
    9,364.08/14,034.42 = 4,685.43/x
  3. Step 3: Cross multiply
    9,364.08x = 14,034.42 × 4,685.43
  4. Step 4: Simplify right side
    9,364.08x = 65,757,292.50
  5. Step 5: Solve for x
    x = 65,757,292.50/9,364.08
  6. Step 6: Final answer
    x = 7,022.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.