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Finding the Fourth Proportional to 6,401.05, 9,603.42 and 4,647.79

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Solution

The fourth proportional to 6,401.05, 9,603.42 and 4,647.79 is: 6,973.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.05 : 9,603.42 = 4,647.79 : x
  2. Step 2: Convert to fraction form
    6,401.05/9,603.42 = 4,647.79/x
  3. Step 3: Cross multiply
    6,401.05x = 9,603.42 × 4,647.79
  4. Step 4: Simplify right side
    6,401.05x = 44,634,679.44
  5. Step 5: Solve for x
    x = 44,634,679.44/6,401.05
  6. Step 6: Final answer
    x = 6,973.02

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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.