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Finding the Fourth Proportional to 6,394.16, 9,568.43 and 4,420.19

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Solution

The fourth proportional to 6,394.16, 9,568.43 and 4,420.19 is: 6,614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.16 : 9,568.43 = 4,420.19 : x
  2. Step 2: Convert to fraction form
    6,394.16/9,568.43 = 4,420.19/x
  3. Step 3: Cross multiply
    6,394.16x = 9,568.43 × 4,420.19
  4. Step 4: Simplify right side
    6,394.16x = 42,294,297.00
  5. Step 5: Solve for x
    x = 42,294,297.00/6,394.16
  6. Step 6: Final answer
    x = 6,614.52

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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.