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Finding the Fourth Proportional to 6,875.44, 9,488.31 and 3,731.83

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Solution

The fourth proportional to 6,875.44, 9,488.31 and 3,731.83 is: 5,150.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.44 : 9,488.31 = 3,731.83 : x
  2. Step 2: Convert to fraction form
    6,875.44/9,488.31 = 3,731.83/x
  3. Step 3: Cross multiply
    6,875.44x = 9,488.31 × 3,731.83
  4. Step 4: Simplify right side
    6,875.44x = 35,408,722.19
  5. Step 5: Solve for x
    x = 35,408,722.19/6,875.44
  6. Step 6: Final answer
    x = 5,150.03

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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.