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Finding the Fourth Proportional to 9,314.11, 12,856.45 and 5,965.93

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Solution

The fourth proportional to 9,314.11, 12,856.45 and 5,965.93 is: 8,234.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.11 : 12,856.45 = 5,965.93 : x
  2. Step 2: Convert to fraction form
    9,314.11/12,856.45 = 5,965.93/x
  3. Step 3: Cross multiply
    9,314.11x = 12,856.45 × 5,965.93
  4. Step 4: Simplify right side
    9,314.11x = 76,700,680.75
  5. Step 5: Solve for x
    x = 76,700,680.75/9,314.11
  6. Step 6: Final answer
    x = 8,234.89

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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.