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Finding the Fourth Proportional to 9,964.50, 13,751.01 and 5,775.18

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Solution

The fourth proportional to 9,964.50, 13,751.01 and 5,775.18 is: 7,969.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.50 : 13,751.01 = 5,775.18 : x
  2. Step 2: Convert to fraction form
    9,964.50/13,751.01 = 5,775.18/x
  3. Step 3: Cross multiply
    9,964.50x = 13,751.01 × 5,775.18
  4. Step 4: Simplify right side
    9,964.50x = 79,414,557.93
  5. Step 5: Solve for x
    x = 79,414,557.93/9,964.50
  6. Step 6: Final answer
    x = 7,969.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.