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Finding the Fourth Proportional to 6,756.81, 9,318.32 and 4,239.20

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Solution

The fourth proportional to 6,756.81, 9,318.32 and 4,239.20 is: 5,846.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,756.81 : 9,318.32 = 4,239.20 : x
  2. Step 2: Convert to fraction form
    6,756.81/9,318.32 = 4,239.20/x
  3. Step 3: Cross multiply
    6,756.81x = 9,318.32 × 4,239.20
  4. Step 4: Simplify right side
    6,756.81x = 39,502,154.36
  5. Step 5: Solve for x
    x = 39,502,154.36/6,756.81
  6. Step 6: Final answer
    x = 5,846.27

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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.