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Finding the Fourth Proportional to 6,207.81, 9,289.84 and 4,735.23

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Solution

The fourth proportional to 6,207.81, 9,289.84 and 4,735.23 is: 7,086.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.81 : 9,289.84 = 4,735.23 : x
  2. Step 2: Convert to fraction form
    6,207.81/9,289.84 = 4,735.23/x
  3. Step 3: Cross multiply
    6,207.81x = 9,289.84 × 4,735.23
  4. Step 4: Simplify right side
    6,207.81x = 43,989,529.06
  5. Step 5: Solve for x
    x = 43,989,529.06/6,207.81
  6. Step 6: Final answer
    x = 7,086.16

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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.