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Finding the Fourth Proportional to 6,465.36, 9,697.08 and 2,082.24

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Solution

The fourth proportional to 6,465.36, 9,697.08 and 2,082.24 is: 3,123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.36 : 9,697.08 = 2,082.24 : x
  2. Step 2: Convert to fraction form
    6,465.36/9,697.08 = 2,082.24/x
  3. Step 3: Cross multiply
    6,465.36x = 9,697.08 × 2,082.24
  4. Step 4: Simplify right side
    6,465.36x = 20,191,647.86
  5. Step 5: Solve for x
    x = 20,191,647.86/6,465.36
  6. Step 6: Final answer
    x = 3,123.05

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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.