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Finding the Fourth Proportional to 9,786.24, 14,679.84 and 3,214.32

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Solution

The fourth proportional to 9,786.24, 14,679.84 and 3,214.32 is: 4,821.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.24 : 14,679.84 = 3,214.32 : x
  2. Step 2: Convert to fraction form
    9,786.24/14,679.84 = 3,214.32/x
  3. Step 3: Cross multiply
    9,786.24x = 14,679.84 × 3,214.32
  4. Step 4: Simplify right side
    9,786.24x = 47,185,703.31
  5. Step 5: Solve for x
    x = 47,185,703.31/9,786.24
  6. Step 6: Final answer
    x = 4,821.64

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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.