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Finding the Fourth Proportional to 9,629.27, 13,281.08 and 8,287.11

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Solution

The fourth proportional to 9,629.27, 13,281.08 and 8,287.11 is: 11,429.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,629.27 : 13,281.08 = 8,287.11 : x
  2. Step 2: Convert to fraction form
    9,629.27/13,281.08 = 8,287.11/x
  3. Step 3: Cross multiply
    9,629.27x = 13,281.08 × 8,287.11
  4. Step 4: Simplify right side
    9,629.27x = 110,061,729.44
  5. Step 5: Solve for x
    x = 110,061,729.44/9,629.27
  6. Step 6: Final answer
    x = 11,429.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.