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Finding the Fourth Proportional to 6,684.17, 9,223.97 and 4,412.75

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Solution

The fourth proportional to 6,684.17, 9,223.97 and 4,412.75 is: 6,089.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.17 : 9,223.97 = 4,412.75 : x
  2. Step 2: Convert to fraction form
    6,684.17/9,223.97 = 4,412.75/x
  3. Step 3: Cross multiply
    6,684.17x = 9,223.97 × 4,412.75
  4. Step 4: Simplify right side
    6,684.17x = 40,703,005.43
  5. Step 5: Solve for x
    x = 40,703,005.43/6,684.17
  6. Step 6: Final answer
    x = 6,089.47

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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.