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Finding the Fourth Proportional to 9,523.77, 13,142.37 and 5,274.99

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Solution

The fourth proportional to 9,523.77, 13,142.37 and 5,274.99 is: 7,279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.77 : 13,142.37 = 5,274.99 : x
  2. Step 2: Convert to fraction form
    9,523.77/13,142.37 = 5,274.99/x
  3. Step 3: Cross multiply
    9,523.77x = 13,142.37 × 5,274.99
  4. Step 4: Simplify right side
    9,523.77x = 69,325,870.33
  5. Step 5: Solve for x
    x = 69,325,870.33/9,523.77
  6. Step 6: Final answer
    x = 7,279.25

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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.