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Finding the Fourth Proportional to 9,825.49, 14,741.88 and 7,981.12

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Solution

The fourth proportional to 9,825.49, 14,741.88 and 7,981.12 is: 11,974.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.49 : 14,741.88 = 7,981.12 : x
  2. Step 2: Convert to fraction form
    9,825.49/14,741.88 = 7,981.12/x
  3. Step 3: Cross multiply
    9,825.49x = 14,741.88 × 7,981.12
  4. Step 4: Simplify right side
    9,825.49x = 117,656,713.31
  5. Step 5: Solve for x
    x = 117,656,713.31/9,825.49
  6. Step 6: Final answer
    x = 11,974.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.