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Finding the Fourth Proportional to 6,204.56, 9,297.56 and 3,432.02

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Solution

The fourth proportional to 6,204.56, 9,297.56 and 3,432.02 is: 5,142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.56 : 9,297.56 = 3,432.02 : x
  2. Step 2: Convert to fraction form
    6,204.56/9,297.56 = 3,432.02/x
  3. Step 3: Cross multiply
    6,204.56x = 9,297.56 × 3,432.02
  4. Step 4: Simplify right side
    6,204.56x = 31,909,373.96
  5. Step 5: Solve for x
    x = 31,909,373.96/6,204.56
  6. Step 6: Final answer
    x = 5,142.89

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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.