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Finding the Fourth Proportional to 9,571.51, 13,205.53 and 5,793.24

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Solution

The fourth proportional to 9,571.51, 13,205.53 and 5,793.24 is: 7,992.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.51 : 13,205.53 = 5,793.24 : x
  2. Step 2: Convert to fraction form
    9,571.51/13,205.53 = 5,793.24/x
  3. Step 3: Cross multiply
    9,571.51x = 13,205.53 × 5,793.24
  4. Step 4: Simplify right side
    9,571.51x = 76,502,861.38
  5. Step 5: Solve for x
    x = 76,502,861.38/9,571.51
  6. Step 6: Final answer
    x = 7,992.77

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Why These Related Problems?

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