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Finding the Fourth Proportional to 9,801.13, 13,525.81 and 5,325.14

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Solution

The fourth proportional to 9,801.13, 13,525.81 and 5,325.14 is: 7,348.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.13 : 13,525.81 = 5,325.14 : x
  2. Step 2: Convert to fraction form
    9,801.13/13,525.81 = 5,325.14/x
  3. Step 3: Cross multiply
    9,801.13x = 13,525.81 × 5,325.14
  4. Step 4: Simplify right side
    9,801.13x = 72,026,750.92
  5. Step 5: Solve for x
    x = 72,026,750.92/9,801.13
  6. Step 6: Final answer
    x = 7,348.82

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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.