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Finding the Fourth Proportional to 9,825.12, 13,530.24 and 9,630.72

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Solution

The fourth proportional to 9,825.12, 13,530.24 and 9,630.72 is: 13,262.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.12 : 13,530.24 = 9,630.72 : x
  2. Step 2: Convert to fraction form
    9,825.12/13,530.24 = 9,630.72/x
  3. Step 3: Cross multiply
    9,825.12x = 13,530.24 × 9,630.72
  4. Step 4: Simplify right side
    9,825.12x = 130,305,952.97
  5. Step 5: Solve for x
    x = 130,305,952.97/9,825.12
  6. Step 6: Final answer
    x = 13,262.53

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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.