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Finding the Fourth Proportional to 9,460.12, 13,044.16 and 7,965.76

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Solution

The fourth proportional to 9,460.12, 13,044.16 and 7,965.76 is: 10,983.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.12 : 13,044.16 = 7,965.76 : x
  2. Step 2: Convert to fraction form
    9,460.12/13,044.16 = 7,965.76/x
  3. Step 3: Cross multiply
    9,460.12x = 13,044.16 × 7,965.76
  4. Step 4: Simplify right side
    9,460.12x = 103,906,647.96
  5. Step 5: Solve for x
    x = 103,906,647.96/9,460.12
  6. Step 6: Final answer
    x = 10,983.65

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Similar ratio
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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.