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Finding the Fourth Proportional to 9,667.47, 14,476.41 and 6,701.70

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Solution

The fourth proportional to 9,667.47, 14,476.41 and 6,701.70 is: 10,035.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.47 : 14,476.41 = 6,701.70 : x
  2. Step 2: Convert to fraction form
    9,667.47/14,476.41 = 6,701.70/x
  3. Step 3: Cross multiply
    9,667.47x = 14,476.41 × 6,701.70
  4. Step 4: Simplify right side
    9,667.47x = 97,016,556.90
  5. Step 5: Solve for x
    x = 97,016,556.90/9,667.47
  6. Step 6: Final answer
    x = 10,035.36

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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.