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Finding the Fourth Proportional to 6,232.96, 9,347.52 and 2,128

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Solution

The fourth proportional to 6,232.96, 9,347.52 and 2,128 is: 3,191.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.96 : 9,347.52 = 2,128 : x
  2. Step 2: Convert to fraction form
    6,232.96/9,347.52 = 2,128/x
  3. Step 3: Cross multiply
    6,232.96x = 9,347.52 × 2,128
  4. Step 4: Simplify right side
    6,232.96x = 19,891,522.56
  5. Step 5: Solve for x
    x = 19,891,522.56/6,232.96
  6. Step 6: Final answer
    x = 3,191.34

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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.