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Finding the Fourth Proportional to 9,667.98, 13,342.87 and 5,419.73

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Solution

The fourth proportional to 9,667.98, 13,342.87 and 5,419.73 is: 7,479.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.98 : 13,342.87 = 5,419.73 : x
  2. Step 2: Convert to fraction form
    9,667.98/13,342.87 = 5,419.73/x
  3. Step 3: Cross multiply
    9,667.98x = 13,342.87 × 5,419.73
  4. Step 4: Simplify right side
    9,667.98x = 72,314,752.83
  5. Step 5: Solve for x
    x = 72,314,752.83/9,667.98
  6. Step 6: Final answer
    x = 7,479.82

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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.