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Finding the Fourth Proportional to 9,416.35, 12,994.56 and 5,224.60

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Solution

The fourth proportional to 9,416.35, 12,994.56 and 5,224.60 is: 7,209.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.35 : 12,994.56 = 5,224.60 : x
  2. Step 2: Convert to fraction form
    9,416.35/12,994.56 = 5,224.60/x
  3. Step 3: Cross multiply
    9,416.35x = 12,994.56 × 5,224.60
  4. Step 4: Simplify right side
    9,416.35x = 67,891,378.18
  5. Step 5: Solve for x
    x = 67,891,378.18/9,416.35
  6. Step 6: Final answer
    x = 7,209.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.