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Finding the Fourth Proportional to 9,313.98, 12,851.90 and 5,537.22

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Solution

The fourth proportional to 9,313.98, 12,851.90 and 5,537.22 is: 7,640.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.98 : 12,851.90 = 5,537.22 : x
  2. Step 2: Convert to fraction form
    9,313.98/12,851.90 = 5,537.22/x
  3. Step 3: Cross multiply
    9,313.98x = 12,851.90 × 5,537.22
  4. Step 4: Simplify right side
    9,313.98x = 71,163,797.72
  5. Step 5: Solve for x
    x = 71,163,797.72/9,313.98
  6. Step 6: Final answer
    x = 7,640.54

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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.