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Finding the Fourth Proportional to 6,026.25, 9,034.82 and 4,172.16

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Solution

The fourth proportional to 6,026.25, 9,034.82 and 4,172.16 is: 6,255.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,026.25 : 9,034.82 = 4,172.16 : x
  2. Step 2: Convert to fraction form
    6,026.25/9,034.82 = 4,172.16/x
  3. Step 3: Cross multiply
    6,026.25x = 9,034.82 × 4,172.16
  4. Step 4: Simplify right side
    6,026.25x = 37,694,714.61
  5. Step 5: Solve for x
    x = 37,694,714.61/6,026.25
  6. Step 6: Final answer
    x = 6,255.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.