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Finding the Fourth Proportional to 9,923.64, 14,886.02 and 3,260.56

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Solution

The fourth proportional to 9,923.64, 14,886.02 and 3,260.56 is: 4,891.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.64 : 14,886.02 = 3,260.56 : x
  2. Step 2: Convert to fraction form
    9,923.64/14,886.02 = 3,260.56/x
  3. Step 3: Cross multiply
    9,923.64x = 14,886.02 × 3,260.56
  4. Step 4: Simplify right side
    9,923.64x = 48,536,761.37
  5. Step 5: Solve for x
    x = 48,536,761.37/9,923.64
  6. Step 6: Final answer
    x = 4,891.02

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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.