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Finding the Fourth Proportional to 9,775.62, 14,662.94 and 3,200.94

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Solution

The fourth proportional to 9,775.62, 14,662.94 and 3,200.94 is: 4,801.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.62 : 14,662.94 = 3,200.94 : x
  2. Step 2: Convert to fraction form
    9,775.62/14,662.94 = 3,200.94/x
  3. Step 3: Cross multiply
    9,775.62x = 14,662.94 × 3,200.94
  4. Step 4: Simplify right side
    9,775.62x = 46,935,191.16
  5. Step 5: Solve for x
    x = 46,935,191.16/9,775.62
  6. Step 6: Final answer
    x = 4,801.25

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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.