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Finding the Fourth Proportional to 7,049.66, 9,728.99 and 4,065.70

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Solution

The fourth proportional to 7,049.66, 9,728.99 and 4,065.70 is: 5,610.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.66 : 9,728.99 = 4,065.70 : x
  2. Step 2: Convert to fraction form
    7,049.66/9,728.99 = 4,065.70/x
  3. Step 3: Cross multiply
    7,049.66x = 9,728.99 × 4,065.70
  4. Step 4: Simplify right side
    7,049.66x = 39,555,154.64
  5. Step 5: Solve for x
    x = 39,555,154.64/7,049.66
  6. Step 6: Final answer
    x = 5,610.93

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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.