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Finding the Fourth Proportional to 9,810.75, 13,538.97 and 5,619

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Solution

The fourth proportional to 9,810.75, 13,538.97 and 5,619 is: 7,754.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.75 : 13,538.97 = 5,619 : x
  2. Step 2: Convert to fraction form
    9,810.75/13,538.97 = 5,619/x
  3. Step 3: Cross multiply
    9,810.75x = 13,538.97 × 5,619
  4. Step 4: Simplify right side
    9,810.75x = 76,075,472.43
  5. Step 5: Solve for x
    x = 76,075,472.43/9,810.75
  6. Step 6: Final answer
    x = 7,754.30

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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.