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Finding the Fourth Proportional to 9,782.72, 14,674.98 and 3,208.94

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Solution

The fourth proportional to 9,782.72, 14,674.98 and 3,208.94 is: 4,813.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.72 : 14,674.98 = 3,208.94 : x
  2. Step 2: Convert to fraction form
    9,782.72/14,674.98 = 3,208.94/x
  3. Step 3: Cross multiply
    9,782.72x = 14,674.98 × 3,208.94
  4. Step 4: Simplify right side
    9,782.72x = 47,091,130.32
  5. Step 5: Solve for x
    x = 47,091,130.32/9,782.72
  6. Step 6: Final answer
    x = 4,813.71

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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.