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Finding the Fourth Proportional to 9,460.22, 14,190.32 and 8,293.82

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Solution

The fourth proportional to 9,460.22, 14,190.32 and 8,293.82 is: 12,440.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.22 : 14,190.32 = 8,293.82 : x
  2. Step 2: Convert to fraction form
    9,460.22/14,190.32 = 8,293.82/x
  3. Step 3: Cross multiply
    9,460.22x = 14,190.32 × 8,293.82
  4. Step 4: Simplify right side
    9,460.22x = 117,691,909.61
  5. Step 5: Solve for x
    x = 117,691,909.61/9,460.22
  6. Step 6: Final answer
    x = 12,440.72

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Double scale
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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.