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Finding the Fourth Proportional to 6,401.61, 9,603.44 and 2,241.52

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Solution

The fourth proportional to 6,401.61, 9,603.44 and 2,241.52 is: 3,362.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.61 : 9,603.44 = 2,241.52 : x
  2. Step 2: Convert to fraction form
    6,401.61/9,603.44 = 2,241.52/x
  3. Step 3: Cross multiply
    6,401.61x = 9,603.44 × 2,241.52
  4. Step 4: Simplify right side
    6,401.61x = 21,526,302.83
  5. Step 5: Solve for x
    x = 21,526,302.83/6,401.61
  6. Step 6: Final answer
    x = 3,362.64

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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.