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Finding the Fourth Proportional to 9,707.31, 14,560.97 and 3,863.97

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Solution

The fourth proportional to 9,707.31, 14,560.97 and 3,863.97 is: 5,795.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.31 : 14,560.97 = 3,863.97 : x
  2. Step 2: Convert to fraction form
    9,707.31/14,560.97 = 3,863.97/x
  3. Step 3: Cross multiply
    9,707.31x = 14,560.97 × 3,863.97
  4. Step 4: Simplify right side
    9,707.31x = 56,263,151.25
  5. Step 5: Solve for x
    x = 56,263,151.25/9,707.31
  6. Step 6: Final answer
    x = 5,795.96

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Similar ratio
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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.