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Finding the Fourth Proportional to 9,482.80, 14,212.66 and 6,710.27

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Solution

The fourth proportional to 9,482.80, 14,212.66 and 6,710.27 is: 10,057.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.80 : 14,212.66 = 6,710.27 : x
  2. Step 2: Convert to fraction form
    9,482.80/14,212.66 = 6,710.27/x
  3. Step 3: Cross multiply
    9,482.80x = 14,212.66 × 6,710.27
  4. Step 4: Simplify right side
    9,482.80x = 95,370,786.02
  5. Step 5: Solve for x
    x = 95,370,786.02/9,482.80
  6. Step 6: Final answer
    x = 10,057.24

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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.