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Finding the Fourth Proportional to 9,928.56, 14,892.44 and 2,533.20

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Solution

The fourth proportional to 9,928.56, 14,892.44 and 2,533.20 is: 3,799.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,928.56 : 14,892.44 = 2,533.20 : x
  2. Step 2: Convert to fraction form
    9,928.56/14,892.44 = 2,533.20/x
  3. Step 3: Cross multiply
    9,928.56x = 14,892.44 × 2,533.20
  4. Step 4: Simplify right side
    9,928.56x = 37,725,529.01
  5. Step 5: Solve for x
    x = 37,725,529.01/9,928.56
  6. Step 6: Final answer
    x = 3,799.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.