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Finding the Fourth Proportional to 9,474.92, 14,214.98 and 4,138.54

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Solution

The fourth proportional to 9,474.92, 14,214.98 and 4,138.54 is: 6,208.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.92 : 14,214.98 = 4,138.54 : x
  2. Step 2: Convert to fraction form
    9,474.92/14,214.98 = 4,138.54/x
  3. Step 3: Cross multiply
    9,474.92x = 14,214.98 × 4,138.54
  4. Step 4: Simplify right side
    9,474.92x = 58,829,263.33
  5. Step 5: Solve for x
    x = 58,829,263.33/9,474.92
  6. Step 6: Final answer
    x = 6,208.95

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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.