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Finding the Fourth Proportional to 9,619.36, 14,434.04 and 7,278.67

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Solution

The fourth proportional to 9,619.36, 14,434.04 and 7,278.67 is: 10,921.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619.36 : 14,434.04 = 7,278.67 : x
  2. Step 2: Convert to fraction form
    9,619.36/14,434.04 = 7,278.67/x
  3. Step 3: Cross multiply
    9,619.36x = 14,434.04 × 7,278.67
  4. Step 4: Simplify right side
    9,619.36x = 105,060,629.69
  5. Step 5: Solve for x
    x = 105,060,629.69/9,619.36
  6. Step 6: Final answer
    x = 10,921.79

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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.