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Finding the Fourth Proportional to 9,805.21, 13,540.16 and 6,274.62

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Solution

The fourth proportional to 9,805.21, 13,540.16 and 6,274.62 is: 8,664.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.21 : 13,540.16 = 6,274.62 : x
  2. Step 2: Convert to fraction form
    9,805.21/13,540.16 = 6,274.62/x
  3. Step 3: Cross multiply
    9,805.21x = 13,540.16 × 6,274.62
  4. Step 4: Simplify right side
    9,805.21x = 84,959,358.74
  5. Step 5: Solve for x
    x = 84,959,358.74/9,805.21
  6. Step 6: Final answer
    x = 8,664.72

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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.