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Finding the Fourth Proportional to 9,624.80, 13,283.16 and 5,847.14

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Solution

The fourth proportional to 9,624.80, 13,283.16 and 5,847.14 is: 8,069.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.80 : 13,283.16 = 5,847.14 : x
  2. Step 2: Convert to fraction form
    9,624.80/13,283.16 = 5,847.14/x
  3. Step 3: Cross multiply
    9,624.80x = 13,283.16 × 5,847.14
  4. Step 4: Simplify right side
    9,624.80x = 77,668,496.16
  5. Step 5: Solve for x
    x = 77,668,496.16/9,624.80
  6. Step 6: Final answer
    x = 8,069.62

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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.