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Finding the Fourth Proportional to 9,482.56, 14,224.60 and 2,556.96

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Solution

The fourth proportional to 9,482.56, 14,224.60 and 2,556.96 is: 3,835.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.56 : 14,224.60 = 2,556.96 : x
  2. Step 2: Convert to fraction form
    9,482.56/14,224.60 = 2,556.96/x
  3. Step 3: Cross multiply
    9,482.56x = 14,224.60 × 2,556.96
  4. Step 4: Simplify right side
    9,482.56x = 36,371,733.22
  5. Step 5: Solve for x
    x = 36,371,733.22/9,482.56
  6. Step 6: Final answer
    x = 3,835.64

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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.