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Finding the Fourth Proportional to 9,783.75, 13,496.61 and 6,192.65

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Solution

The fourth proportional to 9,783.75, 13,496.61 and 6,192.65 is: 8,542.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.75 : 13,496.61 = 6,192.65 : x
  2. Step 2: Convert to fraction form
    9,783.75/13,496.61 = 6,192.65/x
  3. Step 3: Cross multiply
    9,783.75x = 13,496.61 × 6,192.65
  4. Step 4: Simplify right side
    9,783.75x = 83,579,714.43
  5. Step 5: Solve for x
    x = 83,579,714.43/9,783.75
  6. Step 6: Final answer
    x = 8,542.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.