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Finding the Fourth Proportional to 9,328.50, 13,997.61 and 4,133.16

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Solution

The fourth proportional to 9,328.50, 13,997.61 and 4,133.16 is: 6,201.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,328.50 : 13,997.61 = 4,133.16 : x
  2. Step 2: Convert to fraction form
    9,328.50/13,997.61 = 4,133.16/x
  3. Step 3: Cross multiply
    9,328.50x = 13,997.61 × 4,133.16
  4. Step 4: Simplify right side
    9,328.50x = 57,854,361.75
  5. Step 5: Solve for x
    x = 57,854,361.75/9,328.50
  6. Step 6: Final answer
    x = 6,201.89

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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.