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Finding the Fourth Proportional to 6,703.13, 9,250.74 and 3,871.02

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Solution

The fourth proportional to 6,703.13, 9,250.74 and 3,871.02 is: 5,342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.13 : 9,250.74 = 3,871.02 : x
  2. Step 2: Convert to fraction form
    6,703.13/9,250.74 = 3,871.02/x
  3. Step 3: Cross multiply
    6,703.13x = 9,250.74 × 3,871.02
  4. Step 4: Simplify right side
    6,703.13x = 35,809,799.55
  5. Step 5: Solve for x
    x = 35,809,799.55/6,703.13
  6. Step 6: Final answer
    x = 5,342.25

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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.