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Finding the Fourth Proportional to 9,378.12, 14,055.03 and 3,825.07

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Solution

The fourth proportional to 9,378.12, 14,055.03 and 3,825.07 is: 5,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.12 : 14,055.03 = 3,825.07 : x
  2. Step 2: Convert to fraction form
    9,378.12/14,055.03 = 3,825.07/x
  3. Step 3: Cross multiply
    9,378.12x = 14,055.03 × 3,825.07
  4. Step 4: Simplify right side
    9,378.12x = 53,761,438.46
  5. Step 5: Solve for x
    x = 53,761,438.46/9,378.12
  6. Step 6: Final answer
    x = 5,732.65

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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.