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Finding the Fourth Proportional to 9,522.24, 14,283.68 and 8,440.08

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Solution

The fourth proportional to 9,522.24, 14,283.68 and 8,440.08 is: 12,660.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.24 : 14,283.68 = 8,440.08 : x
  2. Step 2: Convert to fraction form
    9,522.24/14,283.68 = 8,440.08/x
  3. Step 3: Cross multiply
    9,522.24x = 14,283.68 × 8,440.08
  4. Step 4: Simplify right side
    9,522.24x = 120,555,401.89
  5. Step 5: Solve for x
    x = 120,555,401.89/9,522.24
  6. Step 6: Final answer
    x = 12,660.40

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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.