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Finding the Fourth Proportional to 6,464.16, 9,696.02 and 2,082.46

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Solution

The fourth proportional to 6,464.16, 9,696.02 and 2,082.46 is: 3,123.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.16 : 9,696.02 = 2,082.46 : x
  2. Step 2: Convert to fraction form
    6,464.16/9,696.02 = 2,082.46/x
  3. Step 3: Cross multiply
    6,464.16x = 9,696.02 × 2,082.46
  4. Step 4: Simplify right side
    6,464.16x = 20,191,573.81
  5. Step 5: Solve for x
    x = 20,191,573.81/6,464.16
  6. Step 6: Final answer
    x = 3,123.62

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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.