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Finding the Fourth Proportional to 8,141.35, 12,212.01 and 2,946.01

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Solution

The fourth proportional to 8,141.35, 12,212.01 and 2,946.01 is: 4,419.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.35 : 12,212.01 = 2,946.01 : x
  2. Step 2: Convert to fraction form
    8,141.35/12,212.01 = 2,946.01/x
  3. Step 3: Cross multiply
    8,141.35x = 12,212.01 × 2,946.01
  4. Step 4: Simplify right side
    8,141.35x = 35,976,703.58
  5. Step 5: Solve for x
    x = 35,976,703.58/8,141.35
  6. Step 6: Final answer
    x = 4,419.01

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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.