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Finding the Fourth Proportional to 9,794.16, 14,718.34 and 9,556.77

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Solution

The fourth proportional to 9,794.16, 14,718.34 and 9,556.77 is: 14,361.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.16 : 14,718.34 = 9,556.77 : x
  2. Step 2: Convert to fraction form
    9,794.16/14,718.34 = 9,556.77/x
  3. Step 3: Cross multiply
    9,794.16x = 14,718.34 × 9,556.77
  4. Step 4: Simplify right side
    9,794.16x = 140,659,790.16
  5. Step 5: Solve for x
    x = 140,659,790.16/9,794.16
  6. Step 6: Final answer
    x = 14,361.60

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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.