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Finding the Fourth Proportional to 9,344.28, 14,009.94 and 4,409.76

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Solution

The fourth proportional to 9,344.28, 14,009.94 and 4,409.76 is: 6,611.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.28 : 14,009.94 = 4,409.76 : x
  2. Step 2: Convert to fraction form
    9,344.28/14,009.94 = 4,409.76/x
  3. Step 3: Cross multiply
    9,344.28x = 14,009.94 × 4,409.76
  4. Step 4: Simplify right side
    9,344.28x = 61,780,473.01
  5. Step 5: Solve for x
    x = 61,780,473.01/9,344.28
  6. Step 6: Final answer
    x = 6,611.58

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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.