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Finding the Fourth Proportional to 6,381.61, 9,570.29 and 2,683.15

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Solution

The fourth proportional to 6,381.61, 9,570.29 and 2,683.15 is: 4,023.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.61 : 9,570.29 = 2,683.15 : x
  2. Step 2: Convert to fraction form
    6,381.61/9,570.29 = 2,683.15/x
  3. Step 3: Cross multiply
    6,381.61x = 9,570.29 × 2,683.15
  4. Step 4: Simplify right side
    6,381.61x = 25,678,486.27
  5. Step 5: Solve for x
    x = 25,678,486.27/6,381.61
  6. Step 6: Final answer
    x = 4,023.83

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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.