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Finding the Fourth Proportional to 34,476, 51,714 and 9,852

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Solution

The fourth proportional to 34,476, 51,714 and 9,852 is: 14,778

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,476 : 51,714 = 9,852 : x
  2. Step 2: Convert to fraction form
    34,476/51,714 = 9,852/x
  3. Step 3: Cross multiply
    34,476x = 51,714 × 9,852
  4. Step 4: Simplify right side
    34,476x = 509,486,328
  5. Step 5: Solve for x
    x = 509,486,328/34,476
  6. Step 6: Final answer
    x = 14,778

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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.