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Finding the Fourth Proportional to 6,685.56, 9,223.17 and 4,031.49

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Solution

The fourth proportional to 6,685.56, 9,223.17 and 4,031.49 is: 5,561.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.56 : 9,223.17 = 4,031.49 : x
  2. Step 2: Convert to fraction form
    6,685.56/9,223.17 = 4,031.49/x
  3. Step 3: Cross multiply
    6,685.56x = 9,223.17 × 4,031.49
  4. Step 4: Simplify right side
    6,685.56x = 37,183,084.49
  5. Step 5: Solve for x
    x = 37,183,084.49/6,685.56
  6. Step 6: Final answer
    x = 5,561.70

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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.