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Finding the Fourth Proportional to 9,945.54, 14,826.83 and 9,478.98

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Solution

The fourth proportional to 9,945.54, 14,826.83 and 9,478.98 is: 14,131.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,945.54 : 14,826.83 = 9,478.98 : x
  2. Step 2: Convert to fraction form
    9,945.54/14,826.83 = 9,478.98/x
  3. Step 3: Cross multiply
    9,945.54x = 14,826.83 × 9,478.98
  4. Step 4: Simplify right side
    9,945.54x = 140,543,177.64
  5. Step 5: Solve for x
    x = 140,543,177.64/9,945.54
  6. Step 6: Final answer
    x = 14,131.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.