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Finding the Fourth Proportional to 9,805.32, 14,709.60 and 3,231.90

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Solution

The fourth proportional to 9,805.32, 14,709.60 and 3,231.90 is: 4,848.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.32 : 14,709.60 = 3,231.90 : x
  2. Step 2: Convert to fraction form
    9,805.32/14,709.60 = 3,231.90/x
  3. Step 3: Cross multiply
    9,805.32x = 14,709.60 × 3,231.90
  4. Step 4: Simplify right side
    9,805.32x = 47,539,956.24
  5. Step 5: Solve for x
    x = 47,539,956.24/9,805.32
  6. Step 6: Final answer
    x = 4,848.38

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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.