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Finding the Fourth Proportional to 9,797.44, 14,696.17 and 2,401.91

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Solution

The fourth proportional to 9,797.44, 14,696.17 and 2,401.91 is: 3,602.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.44 : 14,696.17 = 2,401.91 : x
  2. Step 2: Convert to fraction form
    9,797.44/14,696.17 = 2,401.91/x
  3. Step 3: Cross multiply
    9,797.44x = 14,696.17 × 2,401.91
  4. Step 4: Simplify right side
    9,797.44x = 35,298,877.68
  5. Step 5: Solve for x
    x = 35,298,877.68/9,797.44
  6. Step 6: Final answer
    x = 3,602.87

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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.