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Finding the Fourth Proportional to 6,671.23, 9,206.29 and 3,687.06

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Solution

The fourth proportional to 6,671.23, 9,206.29 and 3,687.06 is: 5,088.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671.23 : 9,206.29 = 3,687.06 : x
  2. Step 2: Convert to fraction form
    6,671.23/9,206.29 = 3,687.06/x
  3. Step 3: Cross multiply
    6,671.23x = 9,206.29 × 3,687.06
  4. Step 4: Simplify right side
    6,671.23x = 33,944,143.61
  5. Step 5: Solve for x
    x = 33,944,143.61/6,671.23
  6. Step 6: Final answer
    x = 5,088.14

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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.