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Finding the Fourth Proportional to 6,225.76, 9,340.00 and 1,843.56

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Solution

The fourth proportional to 6,225.76, 9,340.00 and 1,843.56 is: 2,765.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.76 : 9,340.00 = 1,843.56 : x
  2. Step 2: Convert to fraction form
    6,225.76/9,340.00 = 1,843.56/x
  3. Step 3: Cross multiply
    6,225.76x = 9,340.00 × 1,843.56
  4. Step 4: Simplify right side
    6,225.76x = 17,218,808.31
  5. Step 5: Solve for x
    x = 17,218,808.31/6,225.76
  6. Step 6: Final answer
    x = 2,765.74

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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.