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Finding the Fourth Proportional to 9,646.65, 14,470.27 and 3,321.46

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Solution

The fourth proportional to 9,646.65, 14,470.27 and 3,321.46 is: 4,982.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.65 : 14,470.27 = 3,321.46 : x
  2. Step 2: Convert to fraction form
    9,646.65/14,470.27 = 3,321.46/x
  3. Step 3: Cross multiply
    9,646.65x = 14,470.27 × 3,321.46
  4. Step 4: Simplify right side
    9,646.65x = 48,062,350.64
  5. Step 5: Solve for x
    x = 48,062,350.64/9,646.65
  6. Step 6: Final answer
    x = 4,982.29

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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.