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Finding the Fourth Proportional to 6,034.35, 9,053.35 and 2,914.44

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Solution

The fourth proportional to 6,034.35, 9,053.35 and 2,914.44 is: 4,372.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.35 : 9,053.35 = 2,914.44 : x
  2. Step 2: Convert to fraction form
    6,034.35/9,053.35 = 2,914.44/x
  3. Step 3: Cross multiply
    6,034.35x = 9,053.35 × 2,914.44
  4. Step 4: Simplify right side
    6,034.35x = 26,385,445.37
  5. Step 5: Solve for x
    x = 26,385,445.37/6,034.35
  6. Step 6: Final answer
    x = 4,372.54

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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.