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Finding the Fourth Proportional to 9,611.56, 14,419.74 and 2,686

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Solution

The fourth proportional to 9,611.56, 14,419.74 and 2,686 is: 4,029.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.56 : 14,419.74 = 2,686 : x
  2. Step 2: Convert to fraction form
    9,611.56/14,419.74 = 2,686/x
  3. Step 3: Cross multiply
    9,611.56x = 14,419.74 × 2,686
  4. Step 4: Simplify right side
    9,611.56x = 38,731,421.64
  5. Step 5: Solve for x
    x = 38,731,421.64/9,611.56
  6. Step 6: Final answer
    x = 4,029.67

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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.