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Finding the Fourth Proportional to 9,825.84, 14,729.31 and 6,306.03

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Solution

The fourth proportional to 9,825.84, 14,729.31 and 6,306.03 is: 9,452.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.84 : 14,729.31 = 6,306.03 : x
  2. Step 2: Convert to fraction form
    9,825.84/14,729.31 = 6,306.03/x
  3. Step 3: Cross multiply
    9,825.84x = 14,729.31 × 6,306.03
  4. Step 4: Simplify right side
    9,825.84x = 92,883,470.74
  5. Step 5: Solve for x
    x = 92,883,470.74/9,825.84
  6. Step 6: Final answer
    x = 9,452.98

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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.