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Finding the Fourth Proportional to 6,460.67, 9,697.07 and 3,176.12

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Solution

The fourth proportional to 6,460.67, 9,697.07 and 3,176.12 is: 4,767.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.67 : 9,697.07 = 3,176.12 : x
  2. Step 2: Convert to fraction form
    6,460.67/9,697.07 = 3,176.12/x
  3. Step 3: Cross multiply
    6,460.67x = 9,697.07 × 3,176.12
  4. Step 4: Simplify right side
    6,460.67x = 30,799,057.97
  5. Step 5: Solve for x
    x = 30,799,057.97/6,460.67
  6. Step 6: Final answer
    x = 4,767.16

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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.