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Finding the Fourth Proportional to 9,377.26, 12,946.23 and 5,845.26

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Solution

The fourth proportional to 9,377.26, 12,946.23 and 5,845.26 is: 8,069.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.26 : 12,946.23 = 5,845.26 : x
  2. Step 2: Convert to fraction form
    9,377.26/12,946.23 = 5,845.26/x
  3. Step 3: Cross multiply
    9,377.26x = 12,946.23 × 5,845.26
  4. Step 4: Simplify right side
    9,377.26x = 75,674,015.64
  5. Step 5: Solve for x
    x = 75,674,015.64/9,377.26
  6. Step 6: Final answer
    x = 8,069.95

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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.