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Finding the Fourth Proportional to 7,049.21, 9,718.69 and 6,065.06

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Solution

The fourth proportional to 7,049.21, 9,718.69 and 6,065.06 is: 8,361.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.21 : 9,718.69 = 6,065.06 : x
  2. Step 2: Convert to fraction form
    7,049.21/9,718.69 = 6,065.06/x
  3. Step 3: Cross multiply
    7,049.21x = 9,718.69 × 6,065.06
  4. Step 4: Simplify right side
    7,049.21x = 58,944,437.97
  5. Step 5: Solve for x
    x = 58,944,437.97/7,049.21
  6. Step 6: Final answer
    x = 8,361.85

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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.