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Finding the Fourth Proportional to 9,342.42, 14,012.22 and 3,106.76

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Solution

The fourth proportional to 9,342.42, 14,012.22 and 3,106.76 is: 4,659.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.42 : 14,012.22 = 3,106.76 : x
  2. Step 2: Convert to fraction form
    9,342.42/14,012.22 = 3,106.76/x
  3. Step 3: Cross multiply
    9,342.42x = 14,012.22 × 3,106.76
  4. Step 4: Simplify right side
    9,342.42x = 43,532,604.61
  5. Step 5: Solve for x
    x = 43,532,604.61/9,342.42
  6. Step 6: Final answer
    x = 4,659.67

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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.