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Finding the Fourth Proportional to 6,712.21, 9,261.01 and 4,198.01

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Solution

The fourth proportional to 6,712.21, 9,261.01 and 4,198.01 is: 5,792.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.21 : 9,261.01 = 4,198.01 : x
  2. Step 2: Convert to fraction form
    6,712.21/9,261.01 = 4,198.01/x
  3. Step 3: Cross multiply
    6,712.21x = 9,261.01 × 4,198.01
  4. Step 4: Simplify right side
    6,712.21x = 38,877,837.61
  5. Step 5: Solve for x
    x = 38,877,837.61/6,712.21
  6. Step 6: Final answer
    x = 5,792.11

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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.