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Finding the Fourth Proportional to 6,394.36, 9,591.54 and 6,033.40

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Solution

The fourth proportional to 6,394.36, 9,591.54 and 6,033.40 is: 9,050.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.36 : 9,591.54 = 6,033.40 : x
  2. Step 2: Convert to fraction form
    6,394.36/9,591.54 = 6,033.40/x
  3. Step 3: Cross multiply
    6,394.36x = 9,591.54 × 6,033.40
  4. Step 4: Simplify right side
    6,394.36x = 57,869,597.44
  5. Step 5: Solve for x
    x = 57,869,597.44/6,394.36
  6. Step 6: Final answer
    x = 9,050.10

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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.