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Finding the Fourth Proportional to 9,230.64, 13,842.92 and 5,075.34

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Solution

The fourth proportional to 9,230.64, 13,842.92 and 5,075.34 is: 7,611.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.64 : 13,842.92 = 5,075.34 : x
  2. Step 2: Convert to fraction form
    9,230.64/13,842.92 = 5,075.34/x
  3. Step 3: Cross multiply
    9,230.64x = 13,842.92 × 5,075.34
  4. Step 4: Simplify right side
    9,230.64x = 70,257,500.22
  5. Step 5: Solve for x
    x = 70,257,500.22/9,230.64
  6. Step 6: Final answer
    x = 7,611.34

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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.