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Finding the Fourth Proportional to 6,940.80, 10,411.20 and 6,175.35

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Solution

The fourth proportional to 6,940.80, 10,411.20 and 6,175.35 is: 9,263.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.80 : 10,411.20 = 6,175.35 : x
  2. Step 2: Convert to fraction form
    6,940.80/10,411.20 = 6,175.35/x
  3. Step 3: Cross multiply
    6,940.80x = 10,411.20 × 6,175.35
  4. Step 4: Simplify right side
    6,940.80x = 64,292,803.92
  5. Step 5: Solve for x
    x = 64,292,803.92/6,940.80
  6. Step 6: Final answer
    x = 9,263.03

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