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Finding the Fourth Proportional to 6,457.14, 9,685.71 and 4,513.14

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Solution

The fourth proportional to 6,457.14, 9,685.71 and 4,513.14 is: 6,769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.14 : 9,685.71 = 4,513.14 : x
  2. Step 2: Convert to fraction form
    6,457.14/9,685.71 = 4,513.14/x
  3. Step 3: Cross multiply
    6,457.14x = 9,685.71 × 4,513.14
  4. Step 4: Simplify right side
    6,457.14x = 43,712,965.23
  5. Step 5: Solve for x
    x = 43,712,965.23/6,457.14
  6. Step 6: Final answer
    x = 6,769.71

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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.