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Finding the Fourth Proportional to 9,947.60, 14,921.40 and 9,371.60

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Solution

The fourth proportional to 9,947.60, 14,921.40 and 9,371.60 is: 14,057.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.60 : 14,921.40 = 9,371.60 : x
  2. Step 2: Convert to fraction form
    9,947.60/14,921.40 = 9,371.60/x
  3. Step 3: Cross multiply
    9,947.60x = 14,921.40 × 9,371.60
  4. Step 4: Simplify right side
    9,947.60x = 139,837,392.24
  5. Step 5: Solve for x
    x = 139,837,392.24/9,947.60
  6. Step 6: Final answer
    x = 14,057.40

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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.