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Finding the Fourth Proportional to 9,608.00, 13,260.24 and 5,630.63

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Solution

The fourth proportional to 9,608.00, 13,260.24 and 5,630.63 is: 7,770.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.00 : 13,260.24 = 5,630.63 : x
  2. Step 2: Convert to fraction form
    9,608.00/13,260.24 = 5,630.63/x
  3. Step 3: Cross multiply
    9,608.00x = 13,260.24 × 5,630.63
  4. Step 4: Simplify right side
    9,608.00x = 74,663,438.85
  5. Step 5: Solve for x
    x = 74,663,438.85/9,608.00
  6. Step 6: Final answer
    x = 7,770.97

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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.