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Finding the Fourth Proportional to 9,380.25, 14,075.24 and 4,763.25

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Solution

The fourth proportional to 9,380.25, 14,075.24 and 4,763.25 is: 7,147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.25 : 14,075.24 = 4,763.25 : x
  2. Step 2: Convert to fraction form
    9,380.25/14,075.24 = 4,763.25/x
  3. Step 3: Cross multiply
    9,380.25x = 14,075.24 × 4,763.25
  4. Step 4: Simplify right side
    9,380.25x = 67,043,863.11
  5. Step 5: Solve for x
    x = 67,043,863.11/9,380.25
  6. Step 6: Final answer
    x = 7,147.34

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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.