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Finding the Fourth Proportional to 6,401.07, 9,598.55 and 3,282.57

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Solution

The fourth proportional to 6,401.07, 9,598.55 and 3,282.57 is: 4,922.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.07 : 9,598.55 = 3,282.57 : x
  2. Step 2: Convert to fraction form
    6,401.07/9,598.55 = 3,282.57/x
  3. Step 3: Cross multiply
    6,401.07x = 9,598.55 × 3,282.57
  4. Step 4: Simplify right side
    6,401.07x = 31,507,895.86
  5. Step 5: Solve for x
    x = 31,507,895.86/6,401.07
  6. Step 6: Final answer
    x = 4,922.29

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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.