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Finding the Fourth Proportional to 6,401.02, 9,597.75 and 2,500.90

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Solution

The fourth proportional to 6,401.02, 9,597.75 and 2,500.90 is: 3,749.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.02 : 9,597.75 = 2,500.90 : x
  2. Step 2: Convert to fraction form
    6,401.02/9,597.75 = 2,500.90/x
  3. Step 3: Cross multiply
    6,401.02x = 9,597.75 × 2,500.90
  4. Step 4: Simplify right side
    6,401.02x = 24,003,012.98
  5. Step 5: Solve for x
    x = 24,003,012.98/6,401.02
  6. Step 6: Final answer
    x = 3,749.87

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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.