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Finding the Fourth Proportional to 9,713.25, 13,455.05 and 9,516.42

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Solution

The fourth proportional to 9,713.25, 13,455.05 and 9,516.42 is: 13,182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.25 : 13,455.05 = 9,516.42 : x
  2. Step 2: Convert to fraction form
    9,713.25/13,455.05 = 9,516.42/x
  3. Step 3: Cross multiply
    9,713.25x = 13,455.05 × 9,516.42
  4. Step 4: Simplify right side
    9,713.25x = 128,043,906.92
  5. Step 5: Solve for x
    x = 128,043,906.92/9,713.25
  6. Step 6: Final answer
    x = 13,182.40

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.