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Finding the Fourth Proportional to 6,056.27, 9,085.43 and 1,895.46

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Solution

The fourth proportional to 6,056.27, 9,085.43 and 1,895.46 is: 2,843.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,056.27 : 9,085.43 = 1,895.46 : x
  2. Step 2: Convert to fraction form
    6,056.27/9,085.43 = 1,895.46/x
  3. Step 3: Cross multiply
    6,056.27x = 9,085.43 × 1,895.46
  4. Step 4: Simplify right side
    6,056.27x = 17,221,069.15
  5. Step 5: Solve for x
    x = 17,221,069.15/6,056.27
  6. Step 6: Final answer
    x = 2,843.51

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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.