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Finding the Fourth Proportional to 6,263.68, 9,393.65 and 3,927.24

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Solution

The fourth proportional to 6,263.68, 9,393.65 and 3,927.24 is: 5,889.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,263.68 : 9,393.65 = 3,927.24 : x
  2. Step 2: Convert to fraction form
    6,263.68/9,393.65 = 3,927.24/x
  3. Step 3: Cross multiply
    6,263.68x = 9,393.65 × 3,927.24
  4. Step 4: Simplify right side
    6,263.68x = 36,891,051.42
  5. Step 5: Solve for x
    x = 36,891,051.42/6,263.68
  6. Step 6: Final answer
    x = 5,889.68

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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.