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Finding the Fourth Proportional to 9,667.64, 14,501.54 and 3,427.69

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Solution

The fourth proportional to 9,667.64, 14,501.54 and 3,427.69 is: 5,141.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.64 : 14,501.54 = 3,427.69 : x
  2. Step 2: Convert to fraction form
    9,667.64/14,501.54 = 3,427.69/x
  3. Step 3: Cross multiply
    9,667.64x = 14,501.54 × 3,427.69
  4. Step 4: Simplify right side
    9,667.64x = 49,706,783.64
  5. Step 5: Solve for x
    x = 49,706,783.64/9,667.64
  6. Step 6: Final answer
    x = 5,141.56

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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.