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Finding the Fourth Proportional to 9,801.22, 13,525.82 and 5,325.05

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Solution

The fourth proportional to 9,801.22, 13,525.82 and 5,325.05 is: 7,348.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.22 : 13,525.82 = 5,325.05 : x
  2. Step 2: Convert to fraction form
    9,801.22/13,525.82 = 5,325.05/x
  3. Step 3: Cross multiply
    9,801.22x = 13,525.82 × 5,325.05
  4. Step 4: Simplify right side
    9,801.22x = 72,025,714.92
  5. Step 5: Solve for x
    x = 72,025,714.92/9,801.22
  6. Step 6: Final answer
    x = 7,348.65

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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.