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Finding the Fourth Proportional to 9,667.72, 14,507.08 and 4,120.52

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Solution

The fourth proportional to 9,667.72, 14,507.08 and 4,120.52 is: 6,183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.72 : 14,507.08 = 4,120.52 : x
  2. Step 2: Convert to fraction form
    9,667.72/14,507.08 = 4,120.52/x
  3. Step 3: Cross multiply
    9,667.72x = 14,507.08 × 4,120.52
  4. Step 4: Simplify right side
    9,667.72x = 59,776,713.28
  5. Step 5: Solve for x
    x = 59,776,713.28/9,667.72
  6. Step 6: Final answer
    x = 6,183.12

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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.