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Finding the Fourth Proportional to 6,012.17, 9,019.24 and 1,852.18

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Solution

The fourth proportional to 6,012.17, 9,019.24 and 1,852.18 is: 2,778.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,012.17 : 9,019.24 = 1,852.18 : x
  2. Step 2: Convert to fraction form
    6,012.17/9,019.24 = 1,852.18/x
  3. Step 3: Cross multiply
    6,012.17x = 9,019.24 × 1,852.18
  4. Step 4: Simplify right side
    6,012.17x = 16,705,235.71
  5. Step 5: Solve for x
    x = 16,705,235.71/6,012.17
  6. Step 6: Final answer
    x = 2,778.57

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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.