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Finding the Fourth Proportional to 7,056.63, 9,738.24 and 3,869.99

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Solution

The fourth proportional to 7,056.63, 9,738.24 and 3,869.99 is: 5,340.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056.63 : 9,738.24 = 3,869.99 : x
  2. Step 2: Convert to fraction form
    7,056.63/9,738.24 = 3,869.99/x
  3. Step 3: Cross multiply
    7,056.63x = 9,738.24 × 3,869.99
  4. Step 4: Simplify right side
    7,056.63x = 37,686,864.73
  5. Step 5: Solve for x
    x = 37,686,864.73/7,056.63
  6. Step 6: Final answer
    x = 5,340.63

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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.