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Finding the Fourth Proportional to 9,474.66, 14,212.71 and 2,901.33

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Solution

The fourth proportional to 9,474.66, 14,212.71 and 2,901.33 is: 4,352.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.66 : 14,212.71 = 2,901.33 : x
  2. Step 2: Convert to fraction form
    9,474.66/14,212.71 = 2,901.33/x
  3. Step 3: Cross multiply
    9,474.66x = 14,212.71 × 2,901.33
  4. Step 4: Simplify right side
    9,474.66x = 41,235,761.90
  5. Step 5: Solve for x
    x = 41,235,761.90/9,474.66
  6. Step 6: Final answer
    x = 4,352.22

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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.