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Finding the Fourth Proportional to 9,805.65, 14,708.46 and 3,966.36

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Solution

The fourth proportional to 9,805.65, 14,708.46 and 3,966.36 is: 5,949.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.65 : 14,708.46 = 3,966.36 : x
  2. Step 2: Convert to fraction form
    9,805.65/14,708.46 = 3,966.36/x
  3. Step 3: Cross multiply
    9,805.65x = 14,708.46 × 3,966.36
  4. Step 4: Simplify right side
    9,805.65x = 58,339,007.12
  5. Step 5: Solve for x
    x = 58,339,007.12/9,805.65
  6. Step 6: Final answer
    x = 5,949.53

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Similar ratio
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1.5x scale

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.