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Finding the Fourth Proportional to 9,478.31, 14,214.29 and 3,151.73

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Solution

The fourth proportional to 9,478.31, 14,214.29 and 3,151.73 is: 4,726.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.31 : 14,214.29 = 3,151.73 : x
  2. Step 2: Convert to fraction form
    9,478.31/14,214.29 = 3,151.73/x
  3. Step 3: Cross multiply
    9,478.31x = 14,214.29 × 3,151.73
  4. Step 4: Simplify right side
    9,478.31x = 44,799,604.22
  5. Step 5: Solve for x
    x = 44,799,604.22/9,478.31
  6. Step 6: Final answer
    x = 4,726.54

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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.