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Finding the Fourth Proportional to 6,182.21, 9,273.23 and 1,502.25

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Solution

The fourth proportional to 6,182.21, 9,273.23 and 1,502.25 is: 2,253.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.21 : 9,273.23 = 1,502.25 : x
  2. Step 2: Convert to fraction form
    6,182.21/9,273.23 = 1,502.25/x
  3. Step 3: Cross multiply
    6,182.21x = 9,273.23 × 1,502.25
  4. Step 4: Simplify right side
    6,182.21x = 13,930,709.77
  5. Step 5: Solve for x
    x = 13,930,709.77/6,182.21
  6. Step 6: Final answer
    x = 2,253.35

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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.