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Finding the Fourth Proportional to 9,800.96, 13,525.44 and 5,384.96

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Solution

The fourth proportional to 9,800.96, 13,525.44 and 5,384.96 is: 7,431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.96 : 13,525.44 = 5,384.96 : x
  2. Step 2: Convert to fraction form
    9,800.96/13,525.44 = 5,384.96/x
  3. Step 3: Cross multiply
    9,800.96x = 13,525.44 × 5,384.96
  4. Step 4: Simplify right side
    9,800.96x = 72,833,953.38
  5. Step 5: Solve for x
    x = 72,833,953.38/9,800.96
  6. Step 6: Final answer
    x = 7,431.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.