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Finding the Fourth Proportional to 9,438.75, 13,025.49 and 5,247

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Solution

The fourth proportional to 9,438.75, 13,025.49 and 5,247 is: 7,240.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.75 : 13,025.49 = 5,247 : x
  2. Step 2: Convert to fraction form
    9,438.75/13,025.49 = 5,247/x
  3. Step 3: Cross multiply
    9,438.75x = 13,025.49 × 5,247
  4. Step 4: Simplify right side
    9,438.75x = 68,344,746.03
  5. Step 5: Solve for x
    x = 68,344,746.03/9,438.75
  6. Step 6: Final answer
    x = 7,240.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.