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Finding the Fourth Proportional to 9,667.88, 14,502.52 and 3,003.50

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Solution

The fourth proportional to 9,667.88, 14,502.52 and 3,003.50 is: 4,505.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.88 : 14,502.52 = 3,003.50 : x
  2. Step 2: Convert to fraction form
    9,667.88/14,502.52 = 3,003.50/x
  3. Step 3: Cross multiply
    9,667.88x = 14,502.52 × 3,003.50
  4. Step 4: Simplify right side
    9,667.88x = 43,558,318.82
  5. Step 5: Solve for x
    x = 43,558,318.82/9,667.88
  6. Step 6: Final answer
    x = 4,505.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.