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Finding the Fourth Proportional to 11,481.93, 15,854.40 and 9,357.80

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Solution

The fourth proportional to 11,481.93, 15,854.40 and 9,357.80 is: 12,921.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,481.93 : 15,854.40 = 9,357.80 : x
  2. Step 2: Convert to fraction form
    11,481.93/15,854.40 = 9,357.80/x
  3. Step 3: Cross multiply
    11,481.93x = 15,854.40 × 9,357.80
  4. Step 4: Simplify right side
    11,481.93x = 148,362,225.05
  5. Step 5: Solve for x
    x = 148,362,225.05/11,481.93
  6. Step 6: Final answer
    x = 12,921.37

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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.