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Finding the Fourth Proportional to 6,076.42, 9,111.15 and 3,612.96

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Solution

The fourth proportional to 6,076.42, 9,111.15 and 3,612.96 is: 5,417.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.42 : 9,111.15 = 3,612.96 : x
  2. Step 2: Convert to fraction form
    6,076.42/9,111.15 = 3,612.96/x
  3. Step 3: Cross multiply
    6,076.42x = 9,111.15 × 3,612.96
  4. Step 4: Simplify right side
    6,076.42x = 32,918,220.50
  5. Step 5: Solve for x
    x = 32,918,220.50/6,076.42
  6. Step 6: Final answer
    x = 5,417.37

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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.