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Finding the Fourth Proportional to 9,904.34, 13,667.52 and 5,927.64

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Solution

The fourth proportional to 9,904.34, 13,667.52 and 5,927.64 is: 8,179.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.34 : 13,667.52 = 5,927.64 : x
  2. Step 2: Convert to fraction form
    9,904.34/13,667.52 = 5,927.64/x
  3. Step 3: Cross multiply
    9,904.34x = 13,667.52 × 5,927.64
  4. Step 4: Simplify right side
    9,904.34x = 81,016,138.25
  5. Step 5: Solve for x
    x = 81,016,138.25/9,904.34
  6. Step 6: Final answer
    x = 8,179.86

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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.