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Finding the Fourth Proportional to 9,601.00, 14,392.70 and 8,129.68

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Solution

The fourth proportional to 9,601.00, 14,392.70 and 8,129.68 is: 12,187.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.00 : 14,392.70 = 8,129.68 : x
  2. Step 2: Convert to fraction form
    9,601.00/14,392.70 = 8,129.68/x
  3. Step 3: Cross multiply
    9,601.00x = 14,392.70 × 8,129.68
  4. Step 4: Simplify right side
    9,601.00x = 117,008,125.88
  5. Step 5: Solve for x
    x = 117,008,125.88/9,601.00
  6. Step 6: Final answer
    x = 12,187.08

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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.