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Finding the Fourth Proportional to 6,207.94, 9,313.28 and 3,438.65

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Solution

The fourth proportional to 6,207.94, 9,313.28 and 3,438.65 is: 5,158.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.94 : 9,313.28 = 3,438.65 : x
  2. Step 2: Convert to fraction form
    6,207.94/9,313.28 = 3,438.65/x
  3. Step 3: Cross multiply
    6,207.94x = 9,313.28 × 3,438.65
  4. Step 4: Simplify right side
    6,207.94x = 32,025,129.26
  5. Step 5: Solve for x
    x = 32,025,129.26/6,207.94
  6. Step 6: Final answer
    x = 5,158.74

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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.