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Finding the Fourth Proportional to 9,219.32, 13,829.84 and 3,671.33

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Solution

The fourth proportional to 9,219.32, 13,829.84 and 3,671.33 is: 5,507.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.32 : 13,829.84 = 3,671.33 : x
  2. Step 2: Convert to fraction form
    9,219.32/13,829.84 = 3,671.33/x
  3. Step 3: Cross multiply
    9,219.32x = 13,829.84 × 3,671.33
  4. Step 4: Simplify right side
    9,219.32x = 50,773,832.75
  5. Step 5: Solve for x
    x = 50,773,832.75/9,219.32
  6. Step 6: Final answer
    x = 5,507.33

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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.