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Finding the Fourth Proportional to 9,667.02, 14,497.86 and 3,426.21

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Solution

The fourth proportional to 9,667.02, 14,497.86 and 3,426.21 is: 5,138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.02 : 14,497.86 = 3,426.21 : x
  2. Step 2: Convert to fraction form
    9,667.02/14,497.86 = 3,426.21/x
  3. Step 3: Cross multiply
    9,667.02x = 14,497.86 × 3,426.21
  4. Step 4: Simplify right side
    9,667.02x = 49,672,712.91
  5. Step 5: Solve for x
    x = 49,672,712.91/9,667.02
  6. Step 6: Final answer
    x = 5,138.37

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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.