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Finding the Fourth Proportional to 6,325.09, 9,439.69 and 6,177.67

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Solution

The fourth proportional to 6,325.09, 9,439.69 and 6,177.67 is: 9,219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325.09 : 9,439.69 = 6,177.67 : x
  2. Step 2: Convert to fraction form
    6,325.09/9,439.69 = 6,177.67/x
  3. Step 3: Cross multiply
    6,325.09x = 9,439.69 × 6,177.67
  4. Step 4: Simplify right side
    6,325.09x = 58,315,289.72
  5. Step 5: Solve for x
    x = 58,315,289.72/6,325.09
  6. Step 6: Final answer
    x = 9,219.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.