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Finding the Fourth Proportional to 6,712.82, 9,264.84 and 4,322.12

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Solution

The fourth proportional to 6,712.82, 9,264.84 and 4,322.12 is: 5,965.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.82 : 9,264.84 = 4,322.12 : x
  2. Step 2: Convert to fraction form
    6,712.82/9,264.84 = 4,322.12/x
  3. Step 3: Cross multiply
    6,712.82x = 9,264.84 × 4,322.12
  4. Step 4: Simplify right side
    6,712.82x = 40,043,750.26
  5. Step 5: Solve for x
    x = 40,043,750.26/6,712.82
  6. Step 6: Final answer
    x = 5,965.27

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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.