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Finding the Fourth Proportional to 9,600.63, 14,409.94 and 5,910.06

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Solution

The fourth proportional to 9,600.63, 14,409.94 and 5,910.06 is: 8,870.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.63 : 14,409.94 = 5,910.06 : x
  2. Step 2: Convert to fraction form
    9,600.63/14,409.94 = 5,910.06/x
  3. Step 3: Cross multiply
    9,600.63x = 14,409.94 × 5,910.06
  4. Step 4: Simplify right side
    9,600.63x = 85,163,652.03
  5. Step 5: Solve for x
    x = 85,163,652.03/9,600.63
  6. Step 6: Final answer
    x = 8,870.64

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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.