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Finding the Fourth Proportional to 9,322.89, 13,981.00 and 3,081.75

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Solution

The fourth proportional to 9,322.89, 13,981.00 and 3,081.75 is: 4,621.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.89 : 13,981.00 = 3,081.75 : x
  2. Step 2: Convert to fraction form
    9,322.89/13,981.00 = 3,081.75/x
  3. Step 3: Cross multiply
    9,322.89x = 13,981.00 × 3,081.75
  4. Step 4: Simplify right side
    9,322.89x = 43,085,892.40
  5. Step 5: Solve for x
    x = 43,085,892.40/9,322.89
  6. Step 6: Final answer
    x = 4,621.52

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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.