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Finding the Fourth Proportional to 9,626.80, 13,283.04 and 5,852

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Solution

The fourth proportional to 9,626.80, 13,283.04 and 5,852 is: 8,074.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.80 : 13,283.04 = 5,852 : x
  2. Step 2: Convert to fraction form
    9,626.80/13,283.04 = 5,852/x
  3. Step 3: Cross multiply
    9,626.80x = 13,283.04 × 5,852
  4. Step 4: Simplify right side
    9,626.80x = 77,732,350.08
  5. Step 5: Solve for x
    x = 77,732,350.08/9,626.80
  6. Step 6: Final answer
    x = 8,074.58

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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.