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Finding the Fourth Proportional to 6,457.75, 9,677.53 and 5,135.64

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Solution

The fourth proportional to 6,457.75, 9,677.53 and 5,135.64 is: 7,696.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.75 : 9,677.53 = 5,135.64 : x
  2. Step 2: Convert to fraction form
    6,457.75/9,677.53 = 5,135.64/x
  3. Step 3: Cross multiply
    6,457.75x = 9,677.53 × 5,135.64
  4. Step 4: Simplify right side
    6,457.75x = 49,700,310.17
  5. Step 5: Solve for x
    x = 49,700,310.17/6,457.75
  6. Step 6: Final answer
    x = 7,696.23

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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.