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Finding the Fourth Proportional to 9,825.84, 14,741.16 and 3,252.12

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Solution

The fourth proportional to 9,825.84, 14,741.16 and 3,252.12 is: 4,878.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.84 : 14,741.16 = 3,252.12 : x
  2. Step 2: Convert to fraction form
    9,825.84/14,741.16 = 3,252.12/x
  3. Step 3: Cross multiply
    9,825.84x = 14,741.16 × 3,252.12
  4. Step 4: Simplify right side
    9,825.84x = 47,940,021.26
  5. Step 5: Solve for x
    x = 47,940,021.26/9,825.84
  6. Step 6: Final answer
    x = 4,878.97

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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.