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Finding the Fourth Proportional to 9,667.56, 14,496.48 and 4,729.80

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Solution

The fourth proportional to 9,667.56, 14,496.48 and 4,729.80 is: 7,092.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.56 : 14,496.48 = 4,729.80 : x
  2. Step 2: Convert to fraction form
    9,667.56/14,496.48 = 4,729.80/x
  3. Step 3: Cross multiply
    9,667.56x = 14,496.48 × 4,729.80
  4. Step 4: Simplify right side
    9,667.56x = 68,565,451.10
  5. Step 5: Solve for x
    x = 68,565,451.10/9,667.56
  6. Step 6: Final answer
    x = 7,092.32

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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.