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Finding the Fourth Proportional to 9,921.32, 14,846.45 and 8,591.72

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Solution

The fourth proportional to 9,921.32, 14,846.45 and 8,591.72 is: 12,856.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921.32 : 14,846.45 = 8,591.72 : x
  2. Step 2: Convert to fraction form
    9,921.32/14,846.45 = 8,591.72/x
  3. Step 3: Cross multiply
    9,921.32x = 14,846.45 × 8,591.72
  4. Step 4: Simplify right side
    9,921.32x = 127,556,498.44
  5. Step 5: Solve for x
    x = 127,556,498.44/9,921.32
  6. Step 6: Final answer
    x = 12,856.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.