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Finding the Fourth Proportional to 6,002.74, 9,004.12 and 2,106.22

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Solution

The fourth proportional to 6,002.74, 9,004.12 and 2,106.22 is: 3,159.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.74 : 9,004.12 = 2,106.22 : x
  2. Step 2: Convert to fraction form
    6,002.74/9,004.12 = 2,106.22/x
  3. Step 3: Cross multiply
    6,002.74x = 9,004.12 × 2,106.22
  4. Step 4: Simplify right side
    6,002.74x = 18,964,657.63
  5. Step 5: Solve for x
    x = 18,964,657.63/6,002.74
  6. Step 6: Final answer
    x = 3,159.33

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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.