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Finding the Fourth Proportional to 6,911.45, 9,536.10 and 4,221.98

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Solution

The fourth proportional to 6,911.45, 9,536.10 and 4,221.98 is: 5,825.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.45 : 9,536.10 = 4,221.98 : x
  2. Step 2: Convert to fraction form
    6,911.45/9,536.10 = 4,221.98/x
  3. Step 3: Cross multiply
    6,911.45x = 9,536.10 × 4,221.98
  4. Step 4: Simplify right side
    6,911.45x = 40,261,223.48
  5. Step 5: Solve for x
    x = 40,261,223.48/6,911.45
  6. Step 6: Final answer
    x = 5,825.29

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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.