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Finding the Fourth Proportional to 6,313.46, 8,712.69 and 3,518.66

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Solution

The fourth proportional to 6,313.46, 8,712.69 and 3,518.66 is: 4,855.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.46 : 8,712.69 = 3,518.66 : x
  2. Step 2: Convert to fraction form
    6,313.46/8,712.69 = 3,518.66/x
  3. Step 3: Cross multiply
    6,313.46x = 8,712.69 × 3,518.66
  4. Step 4: Simplify right side
    6,313.46x = 30,656,993.80
  5. Step 5: Solve for x
    x = 30,656,993.80/6,313.46
  6. Step 6: Final answer
    x = 4,855.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.