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Finding the Fourth Proportional to 6,384.19, 9,563.81 and 4,186.21

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Solution

The fourth proportional to 6,384.19, 9,563.81 and 4,186.21 is: 6,271.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.19 : 9,563.81 = 4,186.21 : x
  2. Step 2: Convert to fraction form
    6,384.19/9,563.81 = 4,186.21/x
  3. Step 3: Cross multiply
    6,384.19x = 9,563.81 × 4,186.21
  4. Step 4: Simplify right side
    6,384.19x = 40,036,096.13
  5. Step 5: Solve for x
    x = 40,036,096.13/6,384.19
  6. Step 6: Final answer
    x = 6,271.13

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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.