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Finding the Fourth Proportional to 9,361.38, 12,919.65 and 6,999.42

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Solution

The fourth proportional to 9,361.38, 12,919.65 and 6,999.42 is: 9,659.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,361.38 : 12,919.65 = 6,999.42 : x
  2. Step 2: Convert to fraction form
    9,361.38/12,919.65 = 6,999.42/x
  3. Step 3: Cross multiply
    9,361.38x = 12,919.65 × 6,999.42
  4. Step 4: Simplify right side
    9,361.38x = 90,430,056.60
  5. Step 5: Solve for x
    x = 90,430,056.60/9,361.38
  6. Step 6: Final answer
    x = 9,659.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.