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Finding the Fourth Proportional to 9,643.90, 13,318.06 and 6,667.42

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Solution

The fourth proportional to 9,643.90, 13,318.06 and 6,667.42 is: 9,207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.90 : 13,318.06 = 6,667.42 : x
  2. Step 2: Convert to fraction form
    9,643.90/13,318.06 = 6,667.42/x
  3. Step 3: Cross multiply
    9,643.90x = 13,318.06 × 6,667.42
  4. Step 4: Simplify right side
    9,643.90x = 88,797,033.01
  5. Step 5: Solve for x
    x = 88,797,033.01/9,643.90
  6. Step 6: Final answer
    x = 9,207.59

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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.