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Finding the Fourth Proportional to 9,838.54, 14,759.06 and 3,601.49

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Solution

The fourth proportional to 9,838.54, 14,759.06 and 3,601.49 is: 5,402.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.54 : 14,759.06 = 3,601.49 : x
  2. Step 2: Convert to fraction form
    9,838.54/14,759.06 = 3,601.49/x
  3. Step 3: Cross multiply
    9,838.54x = 14,759.06 × 3,601.49
  4. Step 4: Simplify right side
    9,838.54x = 53,154,576.96
  5. Step 5: Solve for x
    x = 53,154,576.96/9,838.54
  6. Step 6: Final answer
    x = 5,402.69

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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.