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Finding the Fourth Proportional to 9,224.32, 13,836.18 and 2,984.68

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Solution

The fourth proportional to 9,224.32, 13,836.18 and 2,984.68 is: 4,476.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.32 : 13,836.18 = 2,984.68 : x
  2. Step 2: Convert to fraction form
    9,224.32/13,836.18 = 2,984.68/x
  3. Step 3: Cross multiply
    9,224.32x = 13,836.18 × 2,984.68
  4. Step 4: Simplify right side
    9,224.32x = 41,296,569.72
  5. Step 5: Solve for x
    x = 41,296,569.72/9,224.32
  6. Step 6: Final answer
    x = 4,476.92

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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.