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Finding the Fourth Proportional to 9,287.12, 13,932.99 and 4,609.33

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Solution

The fourth proportional to 9,287.12, 13,932.99 and 4,609.33 is: 6,915.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.12 : 13,932.99 = 4,609.33 : x
  2. Step 2: Convert to fraction form
    9,287.12/13,932.99 = 4,609.33/x
  3. Step 3: Cross multiply
    9,287.12x = 13,932.99 × 4,609.33
  4. Step 4: Simplify right side
    9,287.12x = 64,221,713.96
  5. Step 5: Solve for x
    x = 64,221,713.96/9,287.12
  6. Step 6: Final answer
    x = 6,915.14

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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.