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Finding the Fourth Proportional to 10,207.40, 15,314.70 and 9,847.40

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Solution

The fourth proportional to 10,207.40, 15,314.70 and 9,847.40 is: 14,774.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,207.40 : 15,314.70 = 9,847.40 : x
  2. Step 2: Convert to fraction form
    10,207.40/15,314.70 = 9,847.40/x
  3. Step 3: Cross multiply
    10,207.40x = 15,314.70 × 9,847.40
  4. Step 4: Simplify right side
    10,207.40x = 150,809,976.78
  5. Step 5: Solve for x
    x = 150,809,976.78/10,207.40
  6. Step 6: Final answer
    x = 14,774.57

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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.