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Finding the Fourth Proportional to 9,322.09, 13,978.58 and 5,764.57

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Solution

The fourth proportional to 9,322.09, 13,978.58 and 5,764.57 is: 8,644.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.09 : 13,978.58 = 5,764.57 : x
  2. Step 2: Convert to fraction form
    9,322.09/13,978.58 = 5,764.57/x
  3. Step 3: Cross multiply
    9,322.09x = 13,978.58 × 5,764.57
  4. Step 4: Simplify right side
    9,322.09x = 80,580,439.14
  5. Step 5: Solve for x
    x = 80,580,439.14/9,322.09
  6. Step 6: Final answer
    x = 8,644.03

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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.