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Finding the Fourth Proportional to 9,797.46, 13,513.36 and 6,213.52

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Solution

The fourth proportional to 9,797.46, 13,513.36 and 6,213.52 is: 8,570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.46 : 13,513.36 = 6,213.52 : x
  2. Step 2: Convert to fraction form
    9,797.46/13,513.36 = 6,213.52/x
  3. Step 3: Cross multiply
    9,797.46x = 13,513.36 × 6,213.52
  4. Step 4: Simplify right side
    9,797.46x = 83,965,532.63
  5. Step 5: Solve for x
    x = 83,965,532.63/9,797.46
  6. Step 6: Final answer
    x = 8,570.13

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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.