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Finding the Fourth Proportional to 9,502.36, 13,116.92 and 8,505.88

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Solution

The fourth proportional to 9,502.36, 13,116.92 and 8,505.88 is: 11,741.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.36 : 13,116.92 = 8,505.88 : x
  2. Step 2: Convert to fraction form
    9,502.36/13,116.92 = 8,505.88/x
  3. Step 3: Cross multiply
    9,502.36x = 13,116.92 × 8,505.88
  4. Step 4: Simplify right side
    9,502.36x = 111,570,904.96
  5. Step 5: Solve for x
    x = 111,570,904.96/9,502.36
  6. Step 6: Final answer
    x = 11,741.39

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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.