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Finding the Fourth Proportional to 9,626.64, 14,443.92 and 4,944.32

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Solution

The fourth proportional to 9,626.64, 14,443.92 and 4,944.32 is: 7,418.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.64 : 14,443.92 = 4,944.32 : x
  2. Step 2: Convert to fraction form
    9,626.64/14,443.92 = 4,944.32/x
  3. Step 3: Cross multiply
    9,626.64x = 14,443.92 × 4,944.32
  4. Step 4: Simplify right side
    9,626.64x = 71,415,362.53
  5. Step 5: Solve for x
    x = 71,415,362.53/9,626.64
  6. Step 6: Final answer
    x = 7,418.51

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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.