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Finding the Fourth Proportional to 9,533.28, 14,271.54 and 8,532.12

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Solution

The fourth proportional to 9,533.28, 14,271.54 and 8,532.12 is: 12,772.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.28 : 14,271.54 = 8,532.12 : x
  2. Step 2: Convert to fraction form
    9,533.28/14,271.54 = 8,532.12/x
  3. Step 3: Cross multiply
    9,533.28x = 14,271.54 × 8,532.12
  4. Step 4: Simplify right side
    9,533.28x = 121,766,491.86
  5. Step 5: Solve for x
    x = 121,766,491.86/9,533.28
  6. Step 6: Final answer
    x = 12,772.78

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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.