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Finding the Fourth Proportional to 9,790.70, 14,672.78 and 7,145.79

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Solution

The fourth proportional to 9,790.70, 14,672.78 and 7,145.79 is: 10,709.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.70 : 14,672.78 = 7,145.79 : x
  2. Step 2: Convert to fraction form
    9,790.70/14,672.78 = 7,145.79/x
  3. Step 3: Cross multiply
    9,790.70x = 14,672.78 × 7,145.79
  4. Step 4: Simplify right side
    9,790.70x = 104,848,649.37
  5. Step 5: Solve for x
    x = 104,848,649.37/9,790.70
  6. Step 6: Final answer
    x = 10,709.01

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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.