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Finding the Fourth Proportional to 9,667.98, 14,508.45 and 6,207.66

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Solution

The fourth proportional to 9,667.98, 14,508.45 and 6,207.66 is: 9,315.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.98 : 14,508.45 = 6,207.66 : x
  2. Step 2: Convert to fraction form
    9,667.98/14,508.45 = 6,207.66/x
  3. Step 3: Cross multiply
    9,667.98x = 14,508.45 × 6,207.66
  4. Step 4: Simplify right side
    9,667.98x = 90,063,524.73
  5. Step 5: Solve for x
    x = 90,063,524.73/9,667.98
  6. Step 6: Final answer
    x = 9,315.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.