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Finding the Fourth Proportional to 9,317.88, 13,969.92 and 3,075.84

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Solution

The fourth proportional to 9,317.88, 13,969.92 and 3,075.84 is: 4,611.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,317.88 : 13,969.92 = 3,075.84 : x
  2. Step 2: Convert to fraction form
    9,317.88/13,969.92 = 3,075.84/x
  3. Step 3: Cross multiply
    9,317.88x = 13,969.92 × 3,075.84
  4. Step 4: Simplify right side
    9,317.88x = 42,969,238.73
  5. Step 5: Solve for x
    x = 42,969,238.73/9,317.88
  6. Step 6: Final answer
    x = 4,611.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.