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Finding the Fourth Proportional to 9,232.81, 13,827.13 and 5,325.37

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Solution

The fourth proportional to 9,232.81, 13,827.13 and 5,325.37 is: 7,975.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.81 : 13,827.13 = 5,325.37 : x
  2. Step 2: Convert to fraction form
    9,232.81/13,827.13 = 5,325.37/x
  3. Step 3: Cross multiply
    9,232.81x = 13,827.13 × 5,325.37
  4. Step 4: Simplify right side
    9,232.81x = 73,634,583.29
  5. Step 5: Solve for x
    x = 73,634,583.29/9,232.81
  6. Step 6: Final answer
    x = 7,975.32

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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.