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Finding the Fourth Proportional to 9,825.12, 14,701.14 and 5,878.44

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Solution

The fourth proportional to 9,825.12, 14,701.14 and 5,878.44 is: 8,795.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.12 : 14,701.14 = 5,878.44 : x
  2. Step 2: Convert to fraction form
    9,825.12/14,701.14 = 5,878.44/x
  3. Step 3: Cross multiply
    9,825.12x = 14,701.14 × 5,878.44
  4. Step 4: Simplify right side
    9,825.12x = 86,419,769.42
  5. Step 5: Solve for x
    x = 86,419,769.42/9,825.12
  6. Step 6: Final answer
    x = 8,795.80

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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.