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Finding the Fourth Proportional to 6,546.56, 9,823.22 and 2,389.38

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Solution

The fourth proportional to 6,546.56, 9,823.22 and 2,389.38 is: 3,585.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.56 : 9,823.22 = 2,389.38 : x
  2. Step 2: Convert to fraction form
    6,546.56/9,823.22 = 2,389.38/x
  3. Step 3: Cross multiply
    6,546.56x = 9,823.22 × 2,389.38
  4. Step 4: Simplify right side
    6,546.56x = 23,471,393.46
  5. Step 5: Solve for x
    x = 23,471,393.46/6,546.56
  6. Step 6: Final answer
    x = 3,585.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.