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Finding the Fourth Proportional to 9,838.54, 14,759.97 and 2,913.58

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Solution

The fourth proportional to 9,838.54, 14,759.97 and 2,913.58 is: 4,371.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.54 : 14,759.97 = 2,913.58 : x
  2. Step 2: Convert to fraction form
    9,838.54/14,759.97 = 2,913.58/x
  3. Step 3: Cross multiply
    9,838.54x = 14,759.97 × 2,913.58
  4. Step 4: Simplify right side
    9,838.54x = 43,004,353.39
  5. Step 5: Solve for x
    x = 43,004,353.39/9,838.54
  6. Step 6: Final answer
    x = 4,371.01

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Why These Related Problems?

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