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Finding the Fourth Proportional to 9,953.83, 13,728.22 and 6,174.37

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Solution

The fourth proportional to 9,953.83, 13,728.22 and 6,174.37 is: 8,515.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.83 : 13,728.22 = 6,174.37 : x
  2. Step 2: Convert to fraction form
    9,953.83/13,728.22 = 6,174.37/x
  3. Step 3: Cross multiply
    9,953.83x = 13,728.22 × 6,174.37
  4. Step 4: Simplify right side
    9,953.83x = 84,763,109.72
  5. Step 5: Solve for x
    x = 84,763,109.72/9,953.83
  6. Step 6: Final answer
    x = 8,515.63

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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.