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Finding the Fourth Proportional to 9,776.45, 14,665.48 and 3,202.49

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Solution

The fourth proportional to 9,776.45, 14,665.48 and 3,202.49 is: 4,804.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.45 : 14,665.48 = 3,202.49 : x
  2. Step 2: Convert to fraction form
    9,776.45/14,665.48 = 3,202.49/x
  3. Step 3: Cross multiply
    9,776.45x = 14,665.48 × 3,202.49
  4. Step 4: Simplify right side
    9,776.45x = 46,966,053.05
  5. Step 5: Solve for x
    x = 46,966,053.05/9,776.45
  6. Step 6: Final answer
    x = 4,804.00

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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.