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Finding the Fourth Proportional to 9,667.32, 14,501.07 and 2,741.82

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Solution

The fourth proportional to 9,667.32, 14,501.07 and 2,741.82 is: 4,112.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.32 : 14,501.07 = 2,741.82 : x
  2. Step 2: Convert to fraction form
    9,667.32/14,501.07 = 2,741.82/x
  3. Step 3: Cross multiply
    9,667.32x = 14,501.07 × 2,741.82
  4. Step 4: Simplify right side
    9,667.32x = 39,759,323.75
  5. Step 5: Solve for x
    x = 39,759,323.75/9,667.32
  6. Step 6: Final answer
    x = 4,112.76

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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.