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Finding the Fourth Proportional to 9,471.56, 14,186.97 and 7,684.59

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Solution

The fourth proportional to 9,471.56, 14,186.97 and 7,684.59 is: 11,510.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.56 : 14,186.97 = 7,684.59 : x
  2. Step 2: Convert to fraction form
    9,471.56/14,186.97 = 7,684.59/x
  3. Step 3: Cross multiply
    9,471.56x = 14,186.97 × 7,684.59
  4. Step 4: Simplify right side
    9,471.56x = 109,021,047.79
  5. Step 5: Solve for x
    x = 109,021,047.79/9,471.56
  6. Step 6: Final answer
    x = 11,510.36

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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.