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Finding the Fourth Proportional to 9,459.66, 13,049.19 and 5,922.12

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Solution

The fourth proportional to 9,459.66, 13,049.19 and 5,922.12 is: 8,169.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459.66 : 13,049.19 = 5,922.12 : x
  2. Step 2: Convert to fraction form
    9,459.66/13,049.19 = 5,922.12/x
  3. Step 3: Cross multiply
    9,459.66x = 13,049.19 × 5,922.12
  4. Step 4: Simplify right side
    9,459.66x = 77,278,869.08
  5. Step 5: Solve for x
    x = 77,278,869.08/9,459.66
  6. Step 6: Final answer
    x = 8,169.31

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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.