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Finding the Fourth Proportional to 9,667.71, 13,336.70 and 6,308.97

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Solution

The fourth proportional to 9,667.71, 13,336.70 and 6,308.97 is: 8,703.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.71 : 13,336.70 = 6,308.97 : x
  2. Step 2: Convert to fraction form
    9,667.71/13,336.70 = 6,308.97/x
  3. Step 3: Cross multiply
    9,667.71x = 13,336.70 × 6,308.97
  4. Step 4: Simplify right side
    9,667.71x = 84,140,808.65
  5. Step 5: Solve for x
    x = 84,140,808.65/9,667.71
  6. Step 6: Final answer
    x = 8,703.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.