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Finding the Fourth Proportional to 9,309.15, 13,940.61 and 6,522.75

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Solution

The fourth proportional to 9,309.15, 13,940.61 and 6,522.75 is: 9,767.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.15 : 13,940.61 = 6,522.75 : x
  2. Step 2: Convert to fraction form
    9,309.15/13,940.61 = 6,522.75/x
  3. Step 3: Cross multiply
    9,309.15x = 13,940.61 × 6,522.75
  4. Step 4: Simplify right side
    9,309.15x = 90,931,113.88
  5. Step 5: Solve for x
    x = 90,931,113.88/9,309.15
  6. Step 6: Final answer
    x = 9,767.93

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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.