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Finding the Fourth Proportional to 9,530.28, 14,267.04 and 8,529.12

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Solution

The fourth proportional to 9,530.28, 14,267.04 and 8,529.12 is: 12,768.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.28 : 14,267.04 = 8,529.12 : x
  2. Step 2: Convert to fraction form
    9,530.28/14,267.04 = 8,529.12/x
  3. Step 3: Cross multiply
    9,530.28x = 14,267.04 × 8,529.12
  4. Step 4: Simplify right side
    9,530.28x = 121,685,296.20
  5. Step 5: Solve for x
    x = 121,685,296.20/9,530.28
  6. Step 6: Final answer
    x = 12,768.28

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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.