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Finding the Fourth Proportional to 9,374.37, 14,062.37 and 3,828.09

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Solution

The fourth proportional to 9,374.37, 14,062.37 and 3,828.09 is: 5,742.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.37 : 14,062.37 = 3,828.09 : x
  2. Step 2: Convert to fraction form
    9,374.37/14,062.37 = 3,828.09/x
  3. Step 3: Cross multiply
    9,374.37x = 14,062.37 × 3,828.09
  4. Step 4: Simplify right side
    9,374.37x = 53,832,017.97
  5. Step 5: Solve for x
    x = 53,832,017.97/9,374.37
  6. Step 6: Final answer
    x = 5,742.47

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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.