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Finding the Fourth Proportional to 9,941.30, 13,720.30 and 6,414.78

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Solution

The fourth proportional to 9,941.30, 13,720.30 and 6,414.78 is: 8,853.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,941.30 : 13,720.30 = 6,414.78 : x
  2. Step 2: Convert to fraction form
    9,941.30/13,720.30 = 6,414.78/x
  3. Step 3: Cross multiply
    9,941.30x = 13,720.30 × 6,414.78
  4. Step 4: Simplify right side
    9,941.30x = 88,012,706.03
  5. Step 5: Solve for x
    x = 88,012,706.03/9,941.30
  6. Step 6: Final answer
    x = 8,853.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.