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Finding the Fourth Proportional to 9,322.64, 13,981.02 and 3,081.24

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Solution

The fourth proportional to 9,322.64, 13,981.02 and 3,081.24 is: 4,620.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.64 : 13,981.02 = 3,081.24 : x
  2. Step 2: Convert to fraction form
    9,322.64/13,981.02 = 3,081.24/x
  3. Step 3: Cross multiply
    9,322.64x = 13,981.02 × 3,081.24
  4. Step 4: Simplify right side
    9,322.64x = 43,078,878.06
  5. Step 5: Solve for x
    x = 43,078,878.06/9,322.64
  6. Step 6: Final answer
    x = 4,620.89

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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.