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Finding the Fourth Proportional to 9,549.68, 14,328.81 and 5,162.00

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Solution

The fourth proportional to 9,549.68, 14,328.81 and 5,162.00 is: 7,745.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.68 : 14,328.81 = 5,162.00 : x
  2. Step 2: Convert to fraction form
    9,549.68/14,328.81 = 5,162.00/x
  3. Step 3: Cross multiply
    9,549.68x = 14,328.81 × 5,162.00
  4. Step 4: Simplify right side
    9,549.68x = 73,965,245.58
  5. Step 5: Solve for x
    x = 73,965,245.58/9,549.68
  6. Step 6: Final answer
    x = 7,745.32

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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.