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Finding the Fourth Proportional to 6,401.24, 9,603.16 and 2,703.48

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Solution

The fourth proportional to 6,401.24, 9,603.16 and 2,703.48 is: 4,055.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.24 : 9,603.16 = 2,703.48 : x
  2. Step 2: Convert to fraction form
    6,401.24/9,603.16 = 2,703.48/x
  3. Step 3: Cross multiply
    6,401.24x = 9,603.16 × 2,703.48
  4. Step 4: Simplify right side
    6,401.24x = 25,961,951.00
  5. Step 5: Solve for x
    x = 25,961,951.00/6,401.24
  6. Step 6: Final answer
    x = 4,055.77

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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.