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Finding the Fourth Proportional to 9,800.92, 14,703.22 and 3,231.72

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Solution

The fourth proportional to 9,800.92, 14,703.22 and 3,231.72 is: 4,848.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.92 : 14,703.22 = 3,231.72 : x
  2. Step 2: Convert to fraction form
    9,800.92/14,703.22 = 3,231.72/x
  3. Step 3: Cross multiply
    9,800.92x = 14,703.22 × 3,231.72
  4. Step 4: Simplify right side
    9,800.92x = 47,516,690.14
  5. Step 5: Solve for x
    x = 47,516,690.14/9,800.92
  6. Step 6: Final answer
    x = 4,848.19

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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.