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Finding the Fourth Proportional to 34,612.12, 51,917.44 and 9,651.50

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Solution

The fourth proportional to 34,612.12, 51,917.44 and 9,651.50 is: 14,477.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,612.12 : 51,917.44 = 9,651.50 : x
  2. Step 2: Convert to fraction form
    34,612.12/51,917.44 = 9,651.50/x
  3. Step 3: Cross multiply
    34,612.12x = 51,917.44 × 9,651.50
  4. Step 4: Simplify right side
    34,612.12x = 501,081,366.12
  5. Step 5: Solve for x
    x = 501,081,366.12/34,612.12
  6. Step 6: Final answer
    x = 14,477.05

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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.