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Finding the Fourth Proportional to 6,689.36, 9,234.66 and 4,333.40

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Solution

The fourth proportional to 6,689.36, 9,234.66 and 4,333.40 is: 5,982.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.36 : 9,234.66 = 4,333.40 : x
  2. Step 2: Convert to fraction form
    6,689.36/9,234.66 = 4,333.40/x
  3. Step 3: Cross multiply
    6,689.36x = 9,234.66 × 4,333.40
  4. Step 4: Simplify right side
    6,689.36x = 40,017,475.64
  5. Step 5: Solve for x
    x = 40,017,475.64/6,689.36
  6. Step 6: Final answer
    x = 5,982.26

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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.