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Finding the Fourth Proportional to 9,357.12, 14,024.61 and 3,807.54

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Solution

The fourth proportional to 9,357.12, 14,024.61 and 3,807.54 is: 5,706.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.12 : 14,024.61 = 3,807.54 : x
  2. Step 2: Convert to fraction form
    9,357.12/14,024.61 = 3,807.54/x
  3. Step 3: Cross multiply
    9,357.12x = 14,024.61 × 3,807.54
  4. Step 4: Simplify right side
    9,357.12x = 53,399,263.56
  5. Step 5: Solve for x
    x = 53,399,263.56/9,357.12
  6. Step 6: Final answer
    x = 5,706.81

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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.