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Finding the Fourth Proportional to 9,690.96, 14,535.36 and 2,765.28

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Solution

The fourth proportional to 9,690.96, 14,535.36 and 2,765.28 is: 4,147.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.96 : 14,535.36 = 2,765.28 : x
  2. Step 2: Convert to fraction form
    9,690.96/14,535.36 = 2,765.28/x
  3. Step 3: Cross multiply
    9,690.96x = 14,535.36 × 2,765.28
  4. Step 4: Simplify right side
    9,690.96x = 40,194,340.30
  5. Step 5: Solve for x
    x = 40,194,340.30/9,690.96
  6. Step 6: Final answer
    x = 4,147.61

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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.