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Finding the Fourth Proportional to 9,968.10, 14,952.15 and 6,286.65

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Solution

The fourth proportional to 9,968.10, 14,952.15 and 6,286.65 is: 9,429.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.10 : 14,952.15 = 6,286.65 : x
  2. Step 2: Convert to fraction form
    9,968.10/14,952.15 = 6,286.65/x
  3. Step 3: Cross multiply
    9,968.10x = 14,952.15 × 6,286.65
  4. Step 4: Simplify right side
    9,968.10x = 93,998,933.80
  5. Step 5: Solve for x
    x = 93,998,933.80/9,968.10
  6. Step 6: Final answer
    x = 9,429.98

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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.