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Finding the Fourth Proportional to 6,684.90, 9,219.88 and 4,322.94

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Solution

The fourth proportional to 6,684.90, 9,219.88 and 4,322.94 is: 5,962.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.90 : 9,219.88 = 4,322.94 : x
  2. Step 2: Convert to fraction form
    6,684.90/9,219.88 = 4,322.94/x
  3. Step 3: Cross multiply
    6,684.90x = 9,219.88 × 4,322.94
  4. Step 4: Simplify right side
    6,684.90x = 39,856,988.05
  5. Step 5: Solve for x
    x = 39,856,988.05/6,684.90
  6. Step 6: Final answer
    x = 5,962.24

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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.