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Finding the Fourth Proportional to 9,750.39, 14,629.25 and 5,803.92

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Solution

The fourth proportional to 9,750.39, 14,629.25 and 5,803.92 is: 8,708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.39 : 14,629.25 = 5,803.92 : x
  2. Step 2: Convert to fraction form
    9,750.39/14,629.25 = 5,803.92/x
  3. Step 3: Cross multiply
    9,750.39x = 14,629.25 × 5,803.92
  4. Step 4: Simplify right side
    9,750.39x = 84,906,908.64
  5. Step 5: Solve for x
    x = 84,906,908.64/9,750.39
  6. Step 6: Final answer
    x = 8,708.05

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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.