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Finding the Fourth Proportional to 9,762.63, 14,644.01 and 2,367.15

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Solution

The fourth proportional to 9,762.63, 14,644.01 and 2,367.15 is: 3,550.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.63 : 14,644.01 = 2,367.15 : x
  2. Step 2: Convert to fraction form
    9,762.63/14,644.01 = 2,367.15/x
  3. Step 3: Cross multiply
    9,762.63x = 14,644.01 × 2,367.15
  4. Step 4: Simplify right side
    9,762.63x = 34,664,568.27
  5. Step 5: Solve for x
    x = 34,664,568.27/9,762.63
  6. Step 6: Final answer
    x = 3,550.74

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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.