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Finding the Fourth Proportional to 6,012.30, 9,016.83 and 4,076.40

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Solution

The fourth proportional to 6,012.30, 9,016.83 and 4,076.40 is: 6,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,012.30 : 9,016.83 = 4,076.40 : x
  2. Step 2: Convert to fraction form
    6,012.30/9,016.83 = 4,076.40/x
  3. Step 3: Cross multiply
    6,012.30x = 9,016.83 × 4,076.40
  4. Step 4: Simplify right side
    6,012.30x = 36,756,205.81
  5. Step 5: Solve for x
    x = 36,756,205.81/6,012.30
  6. Step 6: Final answer
    x = 6,113.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.