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Finding the Fourth Proportional to 7,218.72, 9,962.78 and 4,075

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Solution

The fourth proportional to 7,218.72, 9,962.78 and 4,075 is: 5,624.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218.72 : 9,962.78 = 4,075 : x
  2. Step 2: Convert to fraction form
    7,218.72/9,962.78 = 4,075/x
  3. Step 3: Cross multiply
    7,218.72x = 9,962.78 × 4,075
  4. Step 4: Simplify right side
    7,218.72x = 40,598,328.50
  5. Step 5: Solve for x
    x = 40,598,328.50/7,218.72
  6. Step 6: Final answer
    x = 5,624.03

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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.