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Finding the Fourth Proportional to 9,776.26, 14,661.32 and 3,200.98

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Solution

The fourth proportional to 9,776.26, 14,661.32 and 3,200.98 is: 4,800.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.26 : 14,661.32 = 3,200.98 : x
  2. Step 2: Convert to fraction form
    9,776.26/14,661.32 = 3,200.98/x
  3. Step 3: Cross multiply
    9,776.26x = 14,661.32 × 3,200.98
  4. Step 4: Simplify right side
    9,776.26x = 46,930,592.09
  5. Step 5: Solve for x
    x = 46,930,592.09/9,776.26
  6. Step 6: Final answer
    x = 4,800.46

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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.