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Finding the Fourth Proportional to 9,852.23, 14,765.51 and 4,002

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Solution

The fourth proportional to 9,852.23, 14,765.51 and 4,002 is: 5,997.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.23 : 14,765.51 = 4,002 : x
  2. Step 2: Convert to fraction form
    9,852.23/14,765.51 = 4,002/x
  3. Step 3: Cross multiply
    9,852.23x = 14,765.51 × 4,002
  4. Step 4: Simplify right side
    9,852.23x = 59,091,571.02
  5. Step 5: Solve for x
    x = 59,091,571.02/9,852.23
  6. Step 6: Final answer
    x = 5,997.79

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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.