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Finding the Fourth Proportional to 9,812.94, 13,540.55 and 5,832.60

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Solution

The fourth proportional to 9,812.94, 13,540.55 and 5,832.60 is: 8,048.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.94 : 13,540.55 = 5,832.60 : x
  2. Step 2: Convert to fraction form
    9,812.94/13,540.55 = 5,832.60/x
  3. Step 3: Cross multiply
    9,812.94x = 13,540.55 × 5,832.60
  4. Step 4: Simplify right side
    9,812.94x = 78,976,582.77
  5. Step 5: Solve for x
    x = 78,976,582.77/9,812.94
  6. Step 6: Final answer
    x = 8,048.21

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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.