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Finding the Fourth Proportional to 7,570.37, 10,441.96 and 6,942.98

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Solution

The fourth proportional to 7,570.37, 10,441.96 and 6,942.98 is: 9,576.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.37 : 10,441.96 = 6,942.98 : x
  2. Step 2: Convert to fraction form
    7,570.37/10,441.96 = 6,942.98/x
  3. Step 3: Cross multiply
    7,570.37x = 10,441.96 × 6,942.98
  4. Step 4: Simplify right side
    7,570.37x = 72,498,328.19
  5. Step 5: Solve for x
    x = 72,498,328.19/7,570.37
  6. Step 6: Final answer
    x = 9,576.59

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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.