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Finding the Fourth Proportional to 9,833.60, 14,748.24 and 3,260.27

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Solution

The fourth proportional to 9,833.60, 14,748.24 and 3,260.27 is: 4,889.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.60 : 14,748.24 = 3,260.27 : x
  2. Step 2: Convert to fraction form
    9,833.60/14,748.24 = 3,260.27/x
  3. Step 3: Cross multiply
    9,833.60x = 14,748.24 × 3,260.27
  4. Step 4: Simplify right side
    9,833.60x = 48,083,244.42
  5. Step 5: Solve for x
    x = 48,083,244.42/9,833.60
  6. Step 6: Final answer
    x = 4,889.69

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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.