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Finding the Fourth Proportional to 6,401.18, 9,600.96 and 2,508.32

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Solution

The fourth proportional to 6,401.18, 9,600.96 and 2,508.32 is: 3,762.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.18 : 9,600.96 = 2,508.32 : x
  2. Step 2: Convert to fraction form
    6,401.18/9,600.96 = 2,508.32/x
  3. Step 3: Cross multiply
    6,401.18x = 9,600.96 × 2,508.32
  4. Step 4: Simplify right side
    6,401.18x = 24,082,279.99
  5. Step 5: Solve for x
    x = 24,082,279.99/6,401.18
  6. Step 6: Final answer
    x = 3,762.16

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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.