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Finding the Fourth Proportional to 6,806.16, 9,396 and 5,822.01

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Solution

The fourth proportional to 6,806.16, 9,396 and 5,822.01 is: 8,037.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.16 : 9,396 = 5,822.01 : x
  2. Step 2: Convert to fraction form
    6,806.16/9,396 = 5,822.01/x
  3. Step 3: Cross multiply
    6,806.16x = 9,396 × 5,822.01
  4. Step 4: Simplify right side
    6,806.16x = 54,703,605.96
  5. Step 5: Solve for x
    x = 54,703,605.96/6,806.16
  6. Step 6: Final answer
    x = 8,037.37

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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.