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Finding the Fourth Proportional to 9,401.68, 14,103.06 and 2,476

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Solution

The fourth proportional to 9,401.68, 14,103.06 and 2,476 is: 3,714.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.68 : 14,103.06 = 2,476 : x
  2. Step 2: Convert to fraction form
    9,401.68/14,103.06 = 2,476/x
  3. Step 3: Cross multiply
    9,401.68x = 14,103.06 × 2,476
  4. Step 4: Simplify right side
    9,401.68x = 34,919,176.56
  5. Step 5: Solve for x
    x = 34,919,176.56/9,401.68
  6. Step 6: Final answer
    x = 3,714.14

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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.