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Finding the Fourth Proportional to 9,648.24, 14,443.92 and 7,194

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Solution

The fourth proportional to 9,648.24, 14,443.92 and 7,194 is: 10,769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.24 : 14,443.92 = 7,194 : x
  2. Step 2: Convert to fraction form
    9,648.24/14,443.92 = 7,194/x
  3. Step 3: Cross multiply
    9,648.24x = 14,443.92 × 7,194
  4. Step 4: Simplify right side
    9,648.24x = 103,909,560.48
  5. Step 5: Solve for x
    x = 103,909,560.48/9,648.24
  6. Step 6: Final answer
    x = 10,769.79

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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.