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Finding the Fourth Proportional to 9,075.82, 12,525.12 and 5,538

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Solution

The fourth proportional to 9,075.82, 12,525.12 and 5,538 is: 7,642.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.82 : 12,525.12 = 5,538 : x
  2. Step 2: Convert to fraction form
    9,075.82/12,525.12 = 5,538/x
  3. Step 3: Cross multiply
    9,075.82x = 12,525.12 × 5,538
  4. Step 4: Simplify right side
    9,075.82x = 69,364,114.56
  5. Step 5: Solve for x
    x = 69,364,114.56/9,075.82
  6. Step 6: Final answer
    x = 7,642.74

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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.