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Finding the Fourth Proportional to 9,534.28, 14,273.04 and 8,533.12

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Solution

The fourth proportional to 9,534.28, 14,273.04 and 8,533.12 is: 12,774.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534.28 : 14,273.04 = 8,533.12 : x
  2. Step 2: Convert to fraction form
    9,534.28/14,273.04 = 8,533.12/x
  3. Step 3: Cross multiply
    9,534.28x = 14,273.04 × 8,533.12
  4. Step 4: Simplify right side
    9,534.28x = 121,793,563.08
  5. Step 5: Solve for x
    x = 121,793,563.08/9,534.28
  6. Step 6: Final answer
    x = 12,774.28

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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.