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Finding the Fourth Proportional to 9,574.41, 14,361.60 and 3,735.12

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Solution

The fourth proportional to 9,574.41, 14,361.60 and 3,735.12 is: 5,602.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.41 : 14,361.60 = 3,735.12 : x
  2. Step 2: Convert to fraction form
    9,574.41/14,361.60 = 3,735.12/x
  3. Step 3: Cross multiply
    9,574.41x = 14,361.60 × 3,735.12
  4. Step 4: Simplify right side
    9,574.41x = 53,642,299.39
  5. Step 5: Solve for x
    x = 53,642,299.39/9,574.41
  6. Step 6: Final answer
    x = 5,602.67

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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.