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Finding the Fourth Proportional to 6,206.66, 9,313.33 and 4,822.77

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Solution

The fourth proportional to 6,206.66, 9,313.33 and 4,822.77 is: 7,236.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.66 : 9,313.33 = 4,822.77 : x
  2. Step 2: Convert to fraction form
    6,206.66/9,313.33 = 4,822.77/x
  3. Step 3: Cross multiply
    6,206.66x = 9,313.33 × 4,822.77
  4. Step 4: Simplify right side
    6,206.66x = 44,916,080.43
  5. Step 5: Solve for x
    x = 44,916,080.43/6,206.66
  6. Step 6: Final answer
    x = 7,236.76

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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.