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Finding the Fourth Proportional to 9,219.12, 13,823.12 and 3,673.32

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Solution

The fourth proportional to 9,219.12, 13,823.12 and 3,673.32 is: 5,507.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.12 : 13,823.12 = 3,673.32 : x
  2. Step 2: Convert to fraction form
    9,219.12/13,823.12 = 3,673.32/x
  3. Step 3: Cross multiply
    9,219.12x = 13,823.12 × 3,673.32
  4. Step 4: Simplify right side
    9,219.12x = 50,776,743.16
  5. Step 5: Solve for x
    x = 50,776,743.16/9,219.12
  6. Step 6: Final answer
    x = 5,507.76

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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.