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Finding the Fourth Proportional to 9,522.11, 14,279.74 and 3,280.50

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Solution

The fourth proportional to 9,522.11, 14,279.74 and 3,280.50 is: 4,919.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.11 : 14,279.74 = 3,280.50 : x
  2. Step 2: Convert to fraction form
    9,522.11/14,279.74 = 3,280.50/x
  3. Step 3: Cross multiply
    9,522.11x = 14,279.74 × 3,280.50
  4. Step 4: Simplify right side
    9,522.11x = 46,844,697.32
  5. Step 5: Solve for x
    x = 46,844,697.32/9,522.11
  6. Step 6: Final answer
    x = 4,919.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.