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Finding the Fourth Proportional to 6,046.25, 9,049.93 and 4,087.67

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Solution

The fourth proportional to 6,046.25, 9,049.93 and 4,087.67 is: 6,118.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.25 : 9,049.93 = 4,087.67 : x
  2. Step 2: Convert to fraction form
    6,046.25/9,049.93 = 4,087.67/x
  3. Step 3: Cross multiply
    6,046.25x = 9,049.93 × 4,087.67
  4. Step 4: Simplify right side
    6,046.25x = 36,993,071.89
  5. Step 5: Solve for x
    x = 36,993,071.89/6,046.25
  6. Step 6: Final answer
    x = 6,118.35

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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.