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Finding the Fourth Proportional to 9,409.44, 14,087.28 and 6,325.92

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Solution

The fourth proportional to 9,409.44, 14,087.28 and 6,325.92 is: 9,470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.44 : 14,087.28 = 6,325.92 : x
  2. Step 2: Convert to fraction form
    9,409.44/14,087.28 = 6,325.92/x
  3. Step 3: Cross multiply
    9,409.44x = 14,087.28 × 6,325.92
  4. Step 4: Simplify right side
    9,409.44x = 89,115,006.30
  5. Step 5: Solve for x
    x = 89,115,006.30/9,409.44
  6. Step 6: Final answer
    x = 9,470.81

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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.