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Finding the Fourth Proportional to 9,667.40, 13,341.06 and 5,636.64

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Solution

The fourth proportional to 9,667.40, 13,341.06 and 5,636.64 is: 7,778.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.40 : 13,341.06 = 5,636.64 : x
  2. Step 2: Convert to fraction form
    9,667.40/13,341.06 = 5,636.64/x
  3. Step 3: Cross multiply
    9,667.40x = 13,341.06 × 5,636.64
  4. Step 4: Simplify right side
    9,667.40x = 75,198,752.44
  5. Step 5: Solve for x
    x = 75,198,752.44/9,667.40
  6. Step 6: Final answer
    x = 7,778.59

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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.