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Finding the Fourth Proportional to 9,833.83, 14,740.24 and 3,902.50

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Solution

The fourth proportional to 9,833.83, 14,740.24 and 3,902.50 is: 5,849.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.83 : 14,740.24 = 3,902.50 : x
  2. Step 2: Convert to fraction form
    9,833.83/14,740.24 = 3,902.50/x
  3. Step 3: Cross multiply
    9,833.83x = 14,740.24 × 3,902.50
  4. Step 4: Simplify right side
    9,833.83x = 57,523,767.09
  5. Step 5: Solve for x
    x = 57,523,767.09/9,833.83
  6. Step 6: Final answer
    x = 5,849.58

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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.