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Finding the Fourth Proportional to 9,416.79, 14,107.97 and 4,409.98

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Solution

The fourth proportional to 9,416.79, 14,107.97 and 4,409.98 is: 6,606.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.79 : 14,107.97 = 4,409.98 : x
  2. Step 2: Convert to fraction form
    9,416.79/14,107.97 = 4,409.98/x
  3. Step 3: Cross multiply
    9,416.79x = 14,107.97 × 4,409.98
  4. Step 4: Simplify right side
    9,416.79x = 62,215,865.54
  5. Step 5: Solve for x
    x = 62,215,865.54/9,416.79
  6. Step 6: Final answer
    x = 6,606.91

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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.