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Finding the Fourth Proportional to 6,909.35, 9,536.37 and 4,075.67

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Solution

The fourth proportional to 6,909.35, 9,536.37 and 4,075.67 is: 5,625.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.35 : 9,536.37 = 4,075.67 : x
  2. Step 2: Convert to fraction form
    6,909.35/9,536.37 = 4,075.67/x
  3. Step 3: Cross multiply
    6,909.35x = 9,536.37 × 4,075.67
  4. Step 4: Simplify right side
    6,909.35x = 38,867,049.44
  5. Step 5: Solve for x
    x = 38,867,049.44/6,909.35
  6. Step 6: Final answer
    x = 5,625.29

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