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Finding the Fourth Proportional to 9,632.93, 14,457.60 and 3,793.64

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Solution

The fourth proportional to 9,632.93, 14,457.60 and 3,793.64 is: 5,693.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.93 : 14,457.60 = 3,793.64 : x
  2. Step 2: Convert to fraction form
    9,632.93/14,457.60 = 3,793.64/x
  3. Step 3: Cross multiply
    9,632.93x = 14,457.60 × 3,793.64
  4. Step 4: Simplify right side
    9,632.93x = 54,846,938.70
  5. Step 5: Solve for x
    x = 54,846,938.70/9,632.93
  6. Step 6: Final answer
    x = 5,693.69

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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.