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Finding the Fourth Proportional to 6,313.40, 8,712.14 and 3,480.77

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Solution

The fourth proportional to 6,313.40, 8,712.14 and 3,480.77 is: 4,803.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.40 : 8,712.14 = 3,480.77 : x
  2. Step 2: Convert to fraction form
    6,313.40/8,712.14 = 3,480.77/x
  3. Step 3: Cross multiply
    6,313.40x = 8,712.14 × 3,480.77
  4. Step 4: Simplify right side
    6,313.40x = 30,324,955.55
  5. Step 5: Solve for x
    x = 30,324,955.55/6,313.40
  6. Step 6: Final answer
    x = 4,803.27

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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.