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Finding the Fourth Proportional to 9,722.50, 14,586.82 and 7,393.66

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Solution

The fourth proportional to 9,722.50, 14,586.82 and 7,393.66 is: 11,092.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.50 : 14,586.82 = 7,393.66 : x
  2. Step 2: Convert to fraction form
    9,722.50/14,586.82 = 7,393.66/x
  3. Step 3: Cross multiply
    9,722.50x = 14,586.82 × 7,393.66
  4. Step 4: Simplify right side
    9,722.50x = 107,849,987.56
  5. Step 5: Solve for x
    x = 107,849,987.56/9,722.50
  6. Step 6: Final answer
    x = 11,092.82

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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.