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Finding the Fourth Proportional to 9,573.27, 14,360.19 and 2,647.77

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Solution

The fourth proportional to 9,573.27, 14,360.19 and 2,647.77 is: 3,971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.27 : 14,360.19 = 2,647.77 : x
  2. Step 2: Convert to fraction form
    9,573.27/14,360.19 = 2,647.77/x
  3. Step 3: Cross multiply
    9,573.27x = 14,360.19 × 2,647.77
  4. Step 4: Simplify right side
    9,573.27x = 38,022,480.28
  5. Step 5: Solve for x
    x = 38,022,480.28/9,573.27
  6. Step 6: Final answer
    x = 3,971.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.