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Finding the Fourth Proportional to 9,384.45, 14,072.13 and 3,835.59

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Solution

The fourth proportional to 9,384.45, 14,072.13 and 3,835.59 is: 5,751.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.45 : 14,072.13 = 3,835.59 : x
  2. Step 2: Convert to fraction form
    9,384.45/14,072.13 = 3,835.59/x
  3. Step 3: Cross multiply
    9,384.45x = 14,072.13 × 3,835.59
  4. Step 4: Simplify right side
    9,384.45x = 53,974,921.11
  5. Step 5: Solve for x
    x = 53,974,921.11/9,384.45
  6. Step 6: Final answer
    x = 5,751.53

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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.