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Finding the Fourth Proportional to 9,236.60, 13,856.64 and 5,074.36

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Solution

The fourth proportional to 9,236.60, 13,856.64 and 5,074.36 is: 7,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,236.60 : 13,856.64 = 5,074.36 : x
  2. Step 2: Convert to fraction form
    9,236.60/13,856.64 = 5,074.36/x
  3. Step 3: Cross multiply
    9,236.60x = 13,856.64 × 5,074.36
  4. Step 4: Simplify right side
    9,236.60x = 70,313,579.75
  5. Step 5: Solve for x
    x = 70,313,579.75/9,236.60
  6. Step 6: Final answer
    x = 7,612.50

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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.