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Finding the Fourth Proportional to 6,393.33, 9,586.35 and 3,428.12

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Solution

The fourth proportional to 6,393.33, 9,586.35 and 3,428.12 is: 5,140.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.33 : 9,586.35 = 3,428.12 : x
  2. Step 2: Convert to fraction form
    6,393.33/9,586.35 = 3,428.12/x
  3. Step 3: Cross multiply
    6,393.33x = 9,586.35 × 3,428.12
  4. Step 4: Simplify right side
    6,393.33x = 32,863,182.13
  5. Step 5: Solve for x
    x = 32,863,182.13/6,393.33
  6. Step 6: Final answer
    x = 5,140.23

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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.