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Finding the Fourth Proportional to 9,561, 13,199.04 and 6,027.84

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Solution

The fourth proportional to 9,561, 13,199.04 and 6,027.84 is: 8,321.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561 : 13,199.04 = 6,027.84 : x
  2. Step 2: Convert to fraction form
    9,561/13,199.04 = 6,027.84/x
  3. Step 3: Cross multiply
    9,561x = 13,199.04 × 6,027.84
  4. Step 4: Simplify right side
    9,561x = 79,561,701.27
  5. Step 5: Solve for x
    x = 79,561,701.27/9,561
  6. Step 6: Final answer
    x = 8,321.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.