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Finding the Fourth Proportional to 7,012.94, 9,685.06 and 5,822.24

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Solution

The fourth proportional to 7,012.94, 9,685.06 and 5,822.24 is: 8,040.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.94 : 9,685.06 = 5,822.24 : x
  2. Step 2: Convert to fraction form
    7,012.94/9,685.06 = 5,822.24/x
  3. Step 3: Cross multiply
    7,012.94x = 9,685.06 × 5,822.24
  4. Step 4: Simplify right side
    7,012.94x = 56,388,743.73
  5. Step 5: Solve for x
    x = 56,388,743.73/7,012.94
  6. Step 6: Final answer
    x = 8,040.67

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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.