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Finding the Fourth Proportional to 9,923.96, 13,695.54 and 5,447.66

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Solution

The fourth proportional to 9,923.96, 13,695.54 and 5,447.66 is: 7,518.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.96 : 13,695.54 = 5,447.66 : x
  2. Step 2: Convert to fraction form
    9,923.96/13,695.54 = 5,447.66/x
  3. Step 3: Cross multiply
    9,923.96x = 13,695.54 × 5,447.66
  4. Step 4: Simplify right side
    9,923.96x = 74,608,645.44
  5. Step 5: Solve for x
    x = 74,608,645.44/9,923.96
  6. Step 6: Final answer
    x = 7,518.03

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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.