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Finding the Fourth Proportional to 9,314.10, 13,971.15 and 8,162.10

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Solution

The fourth proportional to 9,314.10, 13,971.15 and 8,162.10 is: 12,243.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.10 : 13,971.15 = 8,162.10 : x
  2. Step 2: Convert to fraction form
    9,314.10/13,971.15 = 8,162.10/x
  3. Step 3: Cross multiply
    9,314.10x = 13,971.15 × 8,162.10
  4. Step 4: Simplify right side
    9,314.10x = 114,033,923.42
  5. Step 5: Solve for x
    x = 114,033,923.42/9,314.10
  6. Step 6: Final answer
    x = 12,243.15

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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.