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Finding the Fourth Proportional to 6,684.40, 9,233.24 and 5,131.68

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Solution

The fourth proportional to 6,684.40, 9,233.24 and 5,131.68 is: 7,088.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.40 : 9,233.24 = 5,131.68 : x
  2. Step 2: Convert to fraction form
    6,684.40/9,233.24 = 5,131.68/x
  3. Step 3: Cross multiply
    6,684.40x = 9,233.24 × 5,131.68
  4. Step 4: Simplify right side
    6,684.40x = 47,382,033.04
  5. Step 5: Solve for x
    x = 47,382,033.04/6,684.40
  6. Step 6: Final answer
    x = 7,088.45

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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.