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Finding the Fourth Proportional to 9,667.94, 13,346.25 and 7,278.86

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Solution

The fourth proportional to 9,667.94, 13,346.25 and 7,278.86 is: 10,048.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.94 : 13,346.25 = 7,278.86 : x
  2. Step 2: Convert to fraction form
    9,667.94/13,346.25 = 7,278.86/x
  3. Step 3: Cross multiply
    9,667.94x = 13,346.25 × 7,278.86
  4. Step 4: Simplify right side
    9,667.94x = 97,145,485.28
  5. Step 5: Solve for x
    x = 97,145,485.28/9,667.94
  6. Step 6: Final answer
    x = 10,048.21

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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.