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Finding the Fourth Proportional to 10,301.28, 15,443.64 and 9,481.08

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Solution

The fourth proportional to 10,301.28, 15,443.64 and 9,481.08 is: 14,214.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301.28 : 15,443.64 = 9,481.08 : x
  2. Step 2: Convert to fraction form
    10,301.28/15,443.64 = 9,481.08/x
  3. Step 3: Cross multiply
    10,301.28x = 15,443.64 × 9,481.08
  4. Step 4: Simplify right side
    10,301.28x = 146,422,386.33
  5. Step 5: Solve for x
    x = 146,422,386.33/10,301.28
  6. Step 6: Final answer
    x = 14,214.00

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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.