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Finding the Fourth Proportional to 9,745.32, 14,614.39 and 3,503.67

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Solution

The fourth proportional to 9,745.32, 14,614.39 and 3,503.67 is: 5,254.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.32 : 14,614.39 = 3,503.67 : x
  2. Step 2: Convert to fraction form
    9,745.32/14,614.39 = 3,503.67/x
  3. Step 3: Cross multiply
    9,745.32x = 14,614.39 × 3,503.67
  4. Step 4: Simplify right side
    9,745.32x = 51,203,999.81
  5. Step 5: Solve for x
    x = 51,203,999.81/9,745.32
  6. Step 6: Final answer
    x = 5,254.21

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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.