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Finding the Fourth Proportional to 9,525.75, 14,280.85 and 6,396.20

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Solution

The fourth proportional to 9,525.75, 14,280.85 and 6,396.20 is: 9,589.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.75 : 14,280.85 = 6,396.20 : x
  2. Step 2: Convert to fraction form
    9,525.75/14,280.85 = 6,396.20/x
  3. Step 3: Cross multiply
    9,525.75x = 14,280.85 × 6,396.20
  4. Step 4: Simplify right side
    9,525.75x = 91,343,172.77
  5. Step 5: Solve for x
    x = 91,343,172.77/9,525.75
  6. Step 6: Final answer
    x = 9,589.08

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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.