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Finding the Fourth Proportional to 6,534.37, 9,777.34 and 3,903.31

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Solution

The fourth proportional to 6,534.37, 9,777.34 and 3,903.31 is: 5,840.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.37 : 9,777.34 = 3,903.31 : x
  2. Step 2: Convert to fraction form
    6,534.37/9,777.34 = 3,903.31/x
  3. Step 3: Cross multiply
    6,534.37x = 9,777.34 × 3,903.31
  4. Step 4: Simplify right side
    6,534.37x = 38,163,929.14
  5. Step 5: Solve for x
    x = 38,163,929.14/6,534.37
  6. Step 6: Final answer
    x = 5,840.49

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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.