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Finding the Fourth Proportional to 10,945.60, 16,418.40 and 9,947.20

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Solution

The fourth proportional to 10,945.60, 16,418.40 and 9,947.20 is: 14,920.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,945.60 : 16,418.40 = 9,947.20 : x
  2. Step 2: Convert to fraction form
    10,945.60/16,418.40 = 9,947.20/x
  3. Step 3: Cross multiply
    10,945.60x = 16,418.40 × 9,947.20
  4. Step 4: Simplify right side
    10,945.60x = 163,317,108.48
  5. Step 5: Solve for x
    x = 163,317,108.48/10,945.60
  6. Step 6: Final answer
    x = 14,920.80

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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.