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Finding the Fourth Proportional to 9,293.08, 13,922.88 and 9,096.26

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Solution

The fourth proportional to 9,293.08, 13,922.88 and 9,096.26 is: 13,628.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.08 : 13,922.88 = 9,096.26 : x
  2. Step 2: Convert to fraction form
    9,293.08/13,922.88 = 9,096.26/x
  3. Step 3: Cross multiply
    9,293.08x = 13,922.88 × 9,096.26
  4. Step 4: Simplify right side
    9,293.08x = 126,646,136.43
  5. Step 5: Solve for x
    x = 126,646,136.43/9,293.08
  6. Step 6: Final answer
    x = 13,628.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.