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Finding the Fourth Proportional to 9,626.60, 13,233.66 and 8,277.24

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Solution

The fourth proportional to 9,626.60, 13,233.66 and 8,277.24 is: 11,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.60 : 13,233.66 = 8,277.24 : x
  2. Step 2: Convert to fraction form
    9,626.60/13,233.66 = 8,277.24/x
  3. Step 3: Cross multiply
    9,626.60x = 13,233.66 × 8,277.24
  4. Step 4: Simplify right side
    9,626.60x = 109,538,170.61
  5. Step 5: Solve for x
    x = 109,538,170.61/9,626.60
  6. Step 6: Final answer
    x = 11,378.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.