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Finding the Fourth Proportional to 9,667.26, 14,505.78 and 4,476.78

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Solution

The fourth proportional to 9,667.26, 14,505.78 and 4,476.78 is: 6,717.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.26 : 14,505.78 = 4,476.78 : x
  2. Step 2: Convert to fraction form
    9,667.26/14,505.78 = 4,476.78/x
  3. Step 3: Cross multiply
    9,667.26x = 14,505.78 × 4,476.78
  4. Step 4: Simplify right side
    9,667.26x = 64,939,185.79
  5. Step 5: Solve for x
    x = 64,939,185.79/9,667.26
  6. Step 6: Final answer
    x = 6,717.43

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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.