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Finding the Fourth Proportional to 7,061.62, 9,745.35 and 4,229.46

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Solution

The fourth proportional to 7,061.62, 9,745.35 and 4,229.46 is: 5,836.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.62 : 9,745.35 = 4,229.46 : x
  2. Step 2: Convert to fraction form
    7,061.62/9,745.35 = 4,229.46/x
  3. Step 3: Cross multiply
    7,061.62x = 9,745.35 × 4,229.46
  4. Step 4: Simplify right side
    7,061.62x = 41,217,522.50
  5. Step 5: Solve for x
    x = 41,217,522.50/7,061.62
  6. Step 6: Final answer
    x = 5,836.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.