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Finding the Fourth Proportional to 9,523.84, 13,139.87 and 6,169.23

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Solution

The fourth proportional to 9,523.84, 13,139.87 and 6,169.23 is: 8,511.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.84 : 13,139.87 = 6,169.23 : x
  2. Step 2: Convert to fraction form
    9,523.84/13,139.87 = 6,169.23/x
  3. Step 3: Cross multiply
    9,523.84x = 13,139.87 × 6,169.23
  4. Step 4: Simplify right side
    9,523.84x = 81,062,880.20
  5. Step 5: Solve for x
    x = 81,062,880.20/9,523.84
  6. Step 6: Final answer
    x = 8,511.58

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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.