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Finding the Fourth Proportional to 4,632.67, 6,953.69 and 4,109.01

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Solution

The fourth proportional to 4,632.67, 6,953.69 and 4,109.01 is: 6,167.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.67 : 6,953.69 = 4,109.01 : x
  2. Step 2: Convert to fraction form
    4,632.67/6,953.69 = 4,109.01/x
  3. Step 3: Cross multiply
    4,632.67x = 6,953.69 × 4,109.01
  4. Step 4: Simplify right side
    4,632.67x = 28,572,781.75
  5. Step 5: Solve for x
    x = 28,572,781.75/4,632.67
  6. Step 6: Final answer
    x = 6,167.67

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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.