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Finding the Fourth Proportional to 6,459.67, 9,695.57 and 3,175.12

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Solution

The fourth proportional to 6,459.67, 9,695.57 and 3,175.12 is: 4,765.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.67 : 9,695.57 = 3,175.12 : x
  2. Step 2: Convert to fraction form
    6,459.67/9,695.57 = 3,175.12/x
  3. Step 3: Cross multiply
    6,459.67x = 9,695.57 × 3,175.12
  4. Step 4: Simplify right side
    6,459.67x = 30,784,598.22
  5. Step 5: Solve for x
    x = 30,784,598.22/6,459.67
  6. Step 6: Final answer
    x = 4,765.66

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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.