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Finding the Fourth Proportional to 9,313.68, 12,847.20 and 5,535.84

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Solution

The fourth proportional to 9,313.68, 12,847.20 and 5,535.84 is: 7,636.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.68 : 12,847.20 = 5,535.84 : x
  2. Step 2: Convert to fraction form
    9,313.68/12,847.20 = 5,535.84/x
  3. Step 3: Cross multiply
    9,313.68x = 12,847.20 × 5,535.84
  4. Step 4: Simplify right side
    9,313.68x = 71,120,043.65
  5. Step 5: Solve for x
    x = 71,120,043.65/9,313.68
  6. Step 6: Final answer
    x = 7,636.08

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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.