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Finding the Fourth Proportional to 9,786.27, 14,676.32 and 3,210.93

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Solution

The fourth proportional to 9,786.27, 14,676.32 and 3,210.93 is: 4,815.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.27 : 14,676.32 = 3,210.93 : x
  2. Step 2: Convert to fraction form
    9,786.27/14,676.32 = 3,210.93/x
  3. Step 3: Cross multiply
    9,786.27x = 14,676.32 × 3,210.93
  4. Step 4: Simplify right side
    9,786.27x = 47,124,620.12
  5. Step 5: Solve for x
    x = 47,124,620.12/9,786.27
  6. Step 6: Final answer
    x = 4,815.38

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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.