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Finding the Fourth Proportional to 9,502.04, 14,217.42 and 9,002

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Solution

The fourth proportional to 9,502.04, 14,217.42 and 9,002 is: 13,469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.04 : 14,217.42 = 9,002 : x
  2. Step 2: Convert to fraction form
    9,502.04/14,217.42 = 9,002/x
  3. Step 3: Cross multiply
    9,502.04x = 14,217.42 × 9,002
  4. Step 4: Simplify right side
    9,502.04x = 127,985,214.84
  5. Step 5: Solve for x
    x = 127,985,214.84/9,502.04
  6. Step 6: Final answer
    x = 13,469.24

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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.