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Finding the Fourth Proportional to 6,705.56, 9,253.70 and 3,721.43

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Solution

The fourth proportional to 6,705.56, 9,253.70 and 3,721.43 is: 5,135.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.56 : 9,253.70 = 3,721.43 : x
  2. Step 2: Convert to fraction form
    6,705.56/9,253.70 = 3,721.43/x
  3. Step 3: Cross multiply
    6,705.56x = 9,253.70 × 3,721.43
  4. Step 4: Simplify right side
    6,705.56x = 34,436,931.92
  5. Step 5: Solve for x
    x = 34,436,931.92/6,705.56
  6. Step 6: Final answer
    x = 5,135.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.