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Finding the Fourth Proportional to 6,048.36, 9,056.12 and 4,286.21

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Solution

The fourth proportional to 6,048.36, 9,056.12 and 4,286.21 is: 6,417.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,048.36 : 9,056.12 = 4,286.21 : x
  2. Step 2: Convert to fraction form
    6,048.36/9,056.12 = 4,286.21/x
  3. Step 3: Cross multiply
    6,048.36x = 9,056.12 × 4,286.21
  4. Step 4: Simplify right side
    6,048.36x = 38,816,365.39
  5. Step 5: Solve for x
    x = 38,816,365.39/6,048.36
  6. Step 6: Final answer
    x = 6,417.67

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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.