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Finding the Fourth Proportional to 9,803.68, 14,707.34 and 3,231.74

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Solution

The fourth proportional to 9,803.68, 14,707.34 and 3,231.74 is: 4,848.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.68 : 14,707.34 = 3,231.74 : x
  2. Step 2: Convert to fraction form
    9,803.68/14,707.34 = 3,231.74/x
  3. Step 3: Cross multiply
    9,803.68x = 14,707.34 × 3,231.74
  4. Step 4: Simplify right side
    9,803.68x = 47,530,298.97
  5. Step 5: Solve for x
    x = 47,530,298.97/9,803.68
  6. Step 6: Final answer
    x = 4,848.21

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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.