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Finding the Fourth Proportional to 6,375.36, 9,543.33 and 6,281.94

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Solution

The fourth proportional to 6,375.36, 9,543.33 and 6,281.94 is: 9,403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375.36 : 9,543.33 = 6,281.94 : x
  2. Step 2: Convert to fraction form
    6,375.36/9,543.33 = 6,281.94/x
  3. Step 3: Cross multiply
    6,375.36x = 9,543.33 × 6,281.94
  4. Step 4: Simplify right side
    6,375.36x = 59,950,685.80
  5. Step 5: Solve for x
    x = 59,950,685.80/6,375.36
  6. Step 6: Final answer
    x = 9,403.50

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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.