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Finding the Fourth Proportional to 9,620.32, 14,435.84 and 3,777.28

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Solution

The fourth proportional to 9,620.32, 14,435.84 and 3,777.28 is: 5,668.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.32 : 14,435.84 = 3,777.28 : x
  2. Step 2: Convert to fraction form
    9,620.32/14,435.84 = 3,777.28/x
  3. Step 3: Cross multiply
    9,620.32x = 14,435.84 × 3,777.28
  4. Step 4: Simplify right side
    9,620.32x = 54,528,209.72
  5. Step 5: Solve for x
    x = 54,528,209.72/9,620.32
  6. Step 6: Final answer
    x = 5,668.02

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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.