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Finding the Fourth Proportional to 9,713.16, 14,556.84 and 3,866.56

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Solution

The fourth proportional to 9,713.16, 14,556.84 and 3,866.56 is: 5,794.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.16 : 14,556.84 = 3,866.56 : x
  2. Step 2: Convert to fraction form
    9,713.16/14,556.84 = 3,866.56/x
  3. Step 3: Cross multiply
    9,713.16x = 14,556.84 × 3,866.56
  4. Step 4: Simplify right side
    9,713.16x = 56,284,895.27
  5. Step 5: Solve for x
    x = 56,284,895.27/9,713.16
  6. Step 6: Final answer
    x = 5,794.70

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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.