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Finding the Fourth Proportional to 9,608.00, 13,247.69 and 6,775.83

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Solution

The fourth proportional to 9,608.00, 13,247.69 and 6,775.83 is: 9,342.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.00 : 13,247.69 = 6,775.83 : x
  2. Step 2: Convert to fraction form
    9,608.00/13,247.69 = 6,775.83/x
  3. Step 3: Cross multiply
    9,608.00x = 13,247.69 × 6,775.83
  4. Step 4: Simplify right side
    9,608.00x = 89,764,061.45
  5. Step 5: Solve for x
    x = 89,764,061.45/9,608.00
  6. Step 6: Final answer
    x = 9,342.64

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