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Finding the Fourth Proportional to 9,309.90, 13,932.45 and 8,532.30

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Solution

The fourth proportional to 9,309.90, 13,932.45 and 8,532.30 is: 12,768.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.90 : 13,932.45 = 8,532.30 : x
  2. Step 2: Convert to fraction form
    9,309.90/13,932.45 = 8,532.30/x
  3. Step 3: Cross multiply
    9,309.90x = 13,932.45 × 8,532.30
  4. Step 4: Simplify right side
    9,309.90x = 118,875,843.14
  5. Step 5: Solve for x
    x = 118,875,843.14/9,309.90
  6. Step 6: Final answer
    x = 12,768.76

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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.