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Finding the Fourth Proportional to 9,667.90, 14,493.93 and 4,116.70

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Solution

The fourth proportional to 9,667.90, 14,493.93 and 4,116.70 is: 6,171.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.90 : 14,493.93 = 4,116.70 : x
  2. Step 2: Convert to fraction form
    9,667.90/14,493.93 = 4,116.70/x
  3. Step 3: Cross multiply
    9,667.90x = 14,493.93 × 4,116.70
  4. Step 4: Simplify right side
    9,667.90x = 59,667,161.63
  5. Step 5: Solve for x
    x = 59,667,161.63/9,667.90
  6. Step 6: Final answer
    x = 6,171.68

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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.