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Finding the Fourth Proportional to 6,199.68, 9,293.04 and 2,910

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Solution

The fourth proportional to 6,199.68, 9,293.04 and 2,910 is: 4,361.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.68 : 9,293.04 = 2,910 : x
  2. Step 2: Convert to fraction form
    6,199.68/9,293.04 = 2,910/x
  3. Step 3: Cross multiply
    6,199.68x = 9,293.04 × 2,910
  4. Step 4: Simplify right side
    6,199.68x = 27,042,746.40
  5. Step 5: Solve for x
    x = 27,042,746.40/6,199.68
  6. Step 6: Final answer
    x = 4,361.96

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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.