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Finding the Fourth Proportional to 9,801.30, 13,525.56 and 5,324.94

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Solution

The fourth proportional to 9,801.30, 13,525.56 and 5,324.94 is: 7,348.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.30 : 13,525.56 = 5,324.94 : x
  2. Step 2: Convert to fraction form
    9,801.30/13,525.56 = 5,324.94/x
  3. Step 3: Cross multiply
    9,801.30x = 13,525.56 × 5,324.94
  4. Step 4: Simplify right side
    9,801.30x = 72,022,795.47
  5. Step 5: Solve for x
    x = 72,022,795.47/9,801.30
  6. Step 6: Final answer
    x = 7,348.29

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