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Finding the Fourth Proportional to 9,954.60, 14,941.71 and 7,314.71

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Solution

The fourth proportional to 9,954.60, 14,941.71 and 7,314.71 is: 10,979.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.60 : 14,941.71 = 7,314.71 : x
  2. Step 2: Convert to fraction form
    9,954.60/14,941.71 = 7,314.71/x
  3. Step 3: Cross multiply
    9,954.60x = 14,941.71 × 7,314.71
  4. Step 4: Simplify right side
    9,954.60x = 109,294,200.85
  5. Step 5: Solve for x
    x = 109,294,200.85/9,954.60
  6. Step 6: Final answer
    x = 10,979.27

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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.