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Finding the Fourth Proportional to 9,693.70, 14,544.60 and 3,121.90

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Solution

The fourth proportional to 9,693.70, 14,544.60 and 3,121.90 is: 4,684.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.70 : 14,544.60 = 3,121.90 : x
  2. Step 2: Convert to fraction form
    9,693.70/14,544.60 = 3,121.90/x
  3. Step 3: Cross multiply
    9,693.70x = 14,544.60 × 3,121.90
  4. Step 4: Simplify right side
    9,693.70x = 45,406,786.74
  5. Step 5: Solve for x
    x = 45,406,786.74/9,693.70
  6. Step 6: Final answer
    x = 4,684.15

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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.