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Finding the Fourth Proportional to 9,911.40, 13,670.82 and 8,667.24

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Solution

The fourth proportional to 9,911.40, 13,670.82 and 8,667.24 is: 11,954.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.40 : 13,670.82 = 8,667.24 : x
  2. Step 2: Convert to fraction form
    9,911.40/13,670.82 = 8,667.24/x
  3. Step 3: Cross multiply
    9,911.40x = 13,670.82 × 8,667.24
  4. Step 4: Simplify right side
    9,911.40x = 118,488,277.94
  5. Step 5: Solve for x
    x = 118,488,277.94/9,911.40
  6. Step 6: Final answer
    x = 11,954.75

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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.