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Finding the Fourth Proportional to 6,457.16, 9,691.81 and 3,172.61

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Solution

The fourth proportional to 6,457.16, 9,691.81 and 3,172.61 is: 4,761.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.16 : 9,691.81 = 3,172.61 : x
  2. Step 2: Convert to fraction form
    6,457.16/9,691.81 = 3,172.61/x
  3. Step 3: Cross multiply
    6,457.16x = 9,691.81 × 3,172.61
  4. Step 4: Simplify right side
    6,457.16x = 30,748,349.62
  5. Step 5: Solve for x
    x = 30,748,349.62/6,457.16
  6. Step 6: Final answer
    x = 4,761.90

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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.