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Finding the Fourth Proportional to 6,401.98, 9,603.69 and 2,703.52

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Solution

The fourth proportional to 6,401.98, 9,603.69 and 2,703.52 is: 4,055.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.98 : 9,603.69 = 2,703.52 : x
  2. Step 2: Convert to fraction form
    6,401.98/9,603.69 = 2,703.52/x
  3. Step 3: Cross multiply
    6,401.98x = 9,603.69 × 2,703.52
  4. Step 4: Simplify right side
    6,401.98x = 25,963,767.99
  5. Step 5: Solve for x
    x = 25,963,767.99/6,401.98
  6. Step 6: Final answer
    x = 4,055.58

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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.