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Finding the Fourth Proportional to 9,324.44, 12,868.00 and 5,075.78

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Solution

The fourth proportional to 9,324.44, 12,868.00 and 5,075.78 is: 7,004.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.44 : 12,868.00 = 5,075.78 : x
  2. Step 2: Convert to fraction form
    9,324.44/12,868.00 = 5,075.78/x
  3. Step 3: Cross multiply
    9,324.44x = 12,868.00 × 5,075.78
  4. Step 4: Simplify right side
    9,324.44x = 65,315,069.75
  5. Step 5: Solve for x
    x = 65,315,069.75/9,324.44
  6. Step 6: Final answer
    x = 7,004.72

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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.