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Finding the Fourth Proportional to 34,714.67, 52,067.93 and 9,756.83

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Solution

The fourth proportional to 34,714.67, 52,067.93 and 9,756.83 is: 14,634.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,714.67 : 52,067.93 = 9,756.83 : x
  2. Step 2: Convert to fraction form
    34,714.67/52,067.93 = 9,756.83/x
  3. Step 3: Cross multiply
    34,714.67x = 52,067.93 × 9,756.83
  4. Step 4: Simplify right side
    34,714.67x = 508,018,022.85
  5. Step 5: Solve for x
    x = 508,018,022.85/34,714.67
  6. Step 6: Final answer
    x = 14,634.10

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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.