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Finding the Fourth Proportional to 9,608.28, 13,260.72 and 5,630.98

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Solution

The fourth proportional to 9,608.28, 13,260.72 and 5,630.98 is: 7,771.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.28 : 13,260.72 = 5,630.98 : x
  2. Step 2: Convert to fraction form
    9,608.28/13,260.72 = 5,630.98/x
  3. Step 3: Cross multiply
    9,608.28x = 13,260.72 × 5,630.98
  4. Step 4: Simplify right side
    9,608.28x = 74,670,849.11
  5. Step 5: Solve for x
    x = 74,670,849.11/9,608.28
  6. Step 6: Final answer
    x = 7,771.51

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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.