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Finding the Fourth Proportional to 9,824.96, 13,563.08 and 6,290.22

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Solution

The fourth proportional to 9,824.96, 13,563.08 and 6,290.22 is: 8,683.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.96 : 13,563.08 = 6,290.22 : x
  2. Step 2: Convert to fraction form
    9,824.96/13,563.08 = 6,290.22/x
  3. Step 3: Cross multiply
    9,824.96x = 13,563.08 × 6,290.22
  4. Step 4: Simplify right side
    9,824.96x = 85,314,757.08
  5. Step 5: Solve for x
    x = 85,314,757.08/9,824.96
  6. Step 6: Final answer
    x = 8,683.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.