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Finding the Fourth Proportional to 9,454.65, 13,047.30 and 5,205.62

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Solution

The fourth proportional to 9,454.65, 13,047.30 and 5,205.62 is: 7,183.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.65 : 13,047.30 = 5,205.62 : x
  2. Step 2: Convert to fraction form
    9,454.65/13,047.30 = 5,205.62/x
  3. Step 3: Cross multiply
    9,454.65x = 13,047.30 × 5,205.62
  4. Step 4: Simplify right side
    9,454.65x = 67,919,282.53
  5. Step 5: Solve for x
    x = 67,919,282.53/9,454.65
  6. Step 6: Final answer
    x = 7,183.69

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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.