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Finding the Fourth Proportional to 9,954.85, 14,930.64 and 3,713.23

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Solution

The fourth proportional to 9,954.85, 14,930.64 and 3,713.23 is: 5,569.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.85 : 14,930.64 = 3,713.23 : x
  2. Step 2: Convert to fraction form
    9,954.85/14,930.64 = 3,713.23/x
  3. Step 3: Cross multiply
    9,954.85x = 14,930.64 × 3,713.23
  4. Step 4: Simplify right side
    9,954.85x = 55,440,900.37
  5. Step 5: Solve for x
    x = 55,440,900.37/9,954.85
  6. Step 6: Final answer
    x = 5,569.24

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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.