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Finding the Fourth Proportional to 6,541.70, 9,812.55 and 3,949.70

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Solution

The fourth proportional to 6,541.70, 9,812.55 and 3,949.70 is: 5,924.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.70 : 9,812.55 = 3,949.70 : x
  2. Step 2: Convert to fraction form
    6,541.70/9,812.55 = 3,949.70/x
  3. Step 3: Cross multiply
    6,541.70x = 9,812.55 × 3,949.70
  4. Step 4: Simplify right side
    6,541.70x = 38,756,628.74
  5. Step 5: Solve for x
    x = 38,756,628.74/6,541.70
  6. Step 6: Final answer
    x = 5,924.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.