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Finding the Fourth Proportional to 6,401.53, 9,603.66 and 2,505.94

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Solution

The fourth proportional to 6,401.53, 9,603.66 and 2,505.94 is: 3,759.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.53 : 9,603.66 = 2,505.94 : x
  2. Step 2: Convert to fraction form
    6,401.53/9,603.66 = 2,505.94/x
  3. Step 3: Cross multiply
    6,401.53x = 9,603.66 × 2,505.94
  4. Step 4: Simplify right side
    6,401.53x = 24,066,181.13
  5. Step 5: Solve for x
    x = 24,066,181.13/6,401.53
  6. Step 6: Final answer
    x = 3,759.44

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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.