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Finding the Fourth Proportional to 9,212.64, 12,713.60 and 5,021.12

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Solution

The fourth proportional to 9,212.64, 12,713.60 and 5,021.12 is: 6,929.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.64 : 12,713.60 = 5,021.12 : x
  2. Step 2: Convert to fraction form
    9,212.64/12,713.60 = 5,021.12/x
  3. Step 3: Cross multiply
    9,212.64x = 12,713.60 × 5,021.12
  4. Step 4: Simplify right side
    9,212.64x = 63,836,511.23
  5. Step 5: Solve for x
    x = 63,836,511.23/9,212.64
  6. Step 6: Final answer
    x = 6,929.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.