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Finding the Fourth Proportional to 6,921.75, 9,549.70 and 4,090.03

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Solution

The fourth proportional to 6,921.75, 9,549.70 and 4,090.03 is: 5,642.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,921.75 : 9,549.70 = 4,090.03 : x
  2. Step 2: Convert to fraction form
    6,921.75/9,549.70 = 4,090.03/x
  3. Step 3: Cross multiply
    6,921.75x = 9,549.70 × 4,090.03
  4. Step 4: Simplify right side
    6,921.75x = 39,058,525.39
  5. Step 5: Solve for x
    x = 39,058,525.39/6,921.75
  6. Step 6: Final answer
    x = 5,642.87

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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.