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Finding the Fourth Proportional to 9,148.32, 13,722.41 and 2,574.46

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Solution

The fourth proportional to 9,148.32, 13,722.41 and 2,574.46 is: 3,861.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.32 : 13,722.41 = 2,574.46 : x
  2. Step 2: Convert to fraction form
    9,148.32/13,722.41 = 2,574.46/x
  3. Step 3: Cross multiply
    9,148.32x = 13,722.41 × 2,574.46
  4. Step 4: Simplify right side
    9,148.32x = 35,327,819.24
  5. Step 5: Solve for x
    x = 35,327,819.24/9,148.32
  6. Step 6: Final answer
    x = 3,861.67

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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.