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Finding the Fourth Proportional to 9,357.69, 14,036.49 and 3,809.73

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Solution

The fourth proportional to 9,357.69, 14,036.49 and 3,809.73 is: 5,714.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.69 : 14,036.49 = 3,809.73 : x
  2. Step 2: Convert to fraction form
    9,357.69/14,036.49 = 3,809.73/x
  3. Step 3: Cross multiply
    9,357.69x = 14,036.49 × 3,809.73
  4. Step 4: Simplify right side
    9,357.69x = 53,475,237.05
  5. Step 5: Solve for x
    x = 53,475,237.05/9,357.69
  6. Step 6: Final answer
    x = 5,714.58

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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.