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Finding the Fourth Proportional to 9,993.88, 13,778.72 and 8,194.76

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Solution

The fourth proportional to 9,993.88, 13,778.72 and 8,194.76 is: 11,298.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.88 : 13,778.72 = 8,194.76 : x
  2. Step 2: Convert to fraction form
    9,993.88/13,778.72 = 8,194.76/x
  3. Step 3: Cross multiply
    9,993.88x = 13,778.72 × 8,194.76
  4. Step 4: Simplify right side
    9,993.88x = 112,913,303.51
  5. Step 5: Solve for x
    x = 112,913,303.51/9,993.88
  6. Step 6: Final answer
    x = 11,298.24

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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.